Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > RD Sharma Solutions: Factorization of Algebraic Expressions- 2
Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Question:36
Factorize each of the following expressions:
p
3
+ 27
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:37
y
3
+ 125
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
Page 2
Question:36
Factorize each of the following expressions:
p
3
+ 27
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:37
y
3
+ 125
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:38
1 - 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:39
8x
3
y
3
+ 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:40
64a
3
- b
3
Solution:
The given expression to be factorized is
This can be written in the form
Page 3
Question:36
Factorize each of the following expressions:
p
3
+ 27
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:37
y
3
+ 125
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:38
1 - 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:39
8x
3
y
3
+ 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:40
64a
3
- b
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:41
x
3
216
-8y
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:42
10x
4
y - 10xy
4
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
Page 4
Question:36
Factorize each of the following expressions:
p
3
+ 27
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:37
y
3
+ 125
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:38
1 - 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:39
8x
3
y
3
+ 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:40
64a
3
- b
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:41
x
3
216
-8y
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:42
10x
4
y - 10xy
4
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:43
54x
6
y + 2x
3
y
4
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:44
32a
3
+ 108b
3
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
Page 5
Question:36
Factorize each of the following expressions:
p
3
+ 27
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:37
y
3
+ 125
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:38
1 - 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:39
8x
3
y
3
+ 27a
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:40
64a
3
- b
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:41
x
3
216
-8y
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:42
10x
4
y - 10xy
4
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:43
54x
6
y + 2x
3
y
4
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:44
32a
3
+ 108b
3
Solution:
The given expression to be factorized is
Take common from the two terms,. Then we have
This can be written in the form
Recall the formula for sum of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:45
(a - 2b)
3
- 512b
3
Solution:
The given expression to be factorized is
This can be written in the form
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:46
8x
2
y
3
- x
5
Solution:
The given expression to be factorized is
Take common . Then we have
This can be written as
Recall the formula for difference of two cubes
Using the above formula, we have
We cannot further factorize the expression.
So, the required factorization of is .
Question:47
Read More
|
44 videos|412 docs|54 tests
|
FAQs on Factorization of Algebraic Expressions- 2 RD Sharma Solutions - Mathematics (Maths) Class 9
| 1. What is factorization of algebraic expressions? |  |
Ans. Factorization of algebraic expressions is the process of breaking down an algebraic expression into its simplest form by finding its factors. The factors are obtained by dividing the expression by its common factors or using specific factorization techniques.
| 2. How is factorization useful in algebraic expressions? | |
Ans. Factorization is useful in algebraic expressions as it helps in simplifying the expressions and solving equations. It allows us to identify common factors, which can be canceled out to simplify complex expressions. Factorization also helps in solving quadratic equations and finding the roots of a polynomial equation.
| 3. What are the common factorization techniques used in algebraic expressions? | |
Ans. The common factorization techniques used in algebraic expressions include:
1. Factoring out the greatest common factor (GCF): This involves identifying and factoring out the largest common factor from all the terms of the expression.
2. Difference of squares: This technique is used to factorize expressions of the form a^2 - b^2, where a and b are real numbers.
3. Perfect square trinomials: This technique is used to factorize expressions of the form a^2 + 2ab + b^2 or a^2 - 2ab + b^2, where a and b are real numbers.
4. Grouping: This technique involves grouping the terms of the expression in a specific way to factorize it.
| 4. How can factorization help in solving equations? | |
Ans. Factorization can help in solving equations by simplifying the expressions involved. When an equation is factorized, it can be rewritten in terms of its factors, which makes it easier to find the values of the variables that satisfy the equation. By equating each factor to zero, we can determine the possible solutions of the equation.
| 5. Can all algebraic expressions be factorized? | |
Ans. No, not all algebraic expressions can be factorized. Some expressions are prime or irreducible, meaning that they cannot be factored into simpler expressions. However, most polynomial expressions can be factorized using the techniques mentioned earlier. It is important to note that factorization is not always straightforward and may require complex algebraic manipulations in some cases.
Related Exams
About this Document
|
4.65/5 Rating |
|
Dec 18, 2024 Last updated |
Document Description: RD Sharma Solutions: Factorization of Algebraic Expressions- 2 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for RD Sharma Solutions: Factorization of Algebraic Expressions- 2 have been prepared according to the Class 9 exam syllabus. Information about RD Sharma Solutions: Factorization of Algebraic Expressions- 2 covers topics
like and RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Factorization of Algebraic Expressions- 2.
Introduction of RD Sharma Solutions: Factorization of Algebraic Expressions- 2 in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & RD Sharma Solutions: Factorization of Algebraic Expressions- 2 in Hindi for Mathematics (Maths) Class 9 course.
Download more important topics related with notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9
Description
Full syllabus notes, lecture & questions for Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9 - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 9 | Best notes, free PDF download
Information about RD Sharma Solutions: Factorization of Algebraic Expressions- 2
In this doc you can find the meaning of RD Sharma Solutions: Factorization of Algebraic Expressions- 2 defined & explained in the simplest way possible. Besides explaining types of
RD Sharma Solutions: Factorization of Algebraic Expressions- 2 theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Factorization of Algebraic Expressions- 2 tests, examples and also practice Class 9
tests
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
MCQs
,practice quizzes
,Sample Paper
,ppt
,Viva Questions
,past year papers
,Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9
,Important questions
,Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9
,video lectures
,shortcuts and tricks
,mock tests for examination
,Objective type Questions
,Free
,Semester Notes
,Extra Questions
,study material
,Summary
,Factorization of Algebraic Expressions- 2 RD Sharma Solutions | Mathematics (Maths) Class 9
,Exam
,Previous Year Questions with Solutions
;
Additional Information about RD Sharma Solutions: Factorization of Algebraic Expressions- 2 for Class 9 Preparation
RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Free PDF Download
The RD Sharma Solutions: Factorization of Algebraic Expressions- 2 is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions: Factorization of Algebraic Expressions- 2 now and kickstart your journey towards success in the Class 9 exam.
Importance of RD Sharma Solutions: Factorization of Algebraic Expressions- 2
The importance of RD Sharma Solutions: Factorization of Algebraic Expressions- 2 cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Notes
RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma Solutions: Factorization of Algebraic Expressions- 2.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Notes on EduRev are your ultimate resource for success.
RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Class 9 Questions
The "RD Sharma Solutions: Factorization of Algebraic Expressions- 2 Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma Solutions: Factorization of Algebraic Expressions- 2 on the App
Students of Class 9 can study RD Sharma Solutions: Factorization of Algebraic Expressions- 2 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma Solutions: Factorization of Algebraic Expressions- 2,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma Solutions: Factorization of Algebraic Expressions- 2 is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup