Class 9 Exam > Class 9 Notes > Lab Manuals for Class 9 > Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b)
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9 PDF Download
Objective
To verify the algebraic identity a2 – b2 = (a + b) (a - b).
Materials Required
- Drawing sheet
- Pencil
- Colored papers
- Scissors
- Sketch pen
- Ruler
- Adhesive
Prerequisite Knowledge
- Square and its area.
- Rectangle and its area.
- Trapezium.
Theory
- For square and its area refer to Activity 3.
- For rectangle and its area refer to Activity 3.
- Trapezium is a quadrilateral whose two sides are parallel and two sides are non-parallel. In the trapezium ABCD, sides AB and CD are parallel while sides AD and BC are non-parallel.
- Area of trapezium = ½ (Sum of parallel sides x Distance between parallel sides)
= ½ (AB + CD) x DE
Procedure
- Cut out a square WQRS of side a units from a coloured paper, (see Fig. 5.2)
- Cut out a square WXYZ of side b units (b < a) from another coloured paper, (see Fig. 5.3)
- Paste the smaller square WXYZ on the bigger square WQRS as shown in Fig. 5.4.
- Join the points Y and R using sketch pen. (see Fig. 5.4)
- Cut out the trapeziums XQRY and ZYRS from WQRS (see Fig. 5.5 and 5.6).
- Paste both trapeziums obtained in step 5th on the drawing sheet as shown in Fig. 5.7
Demonstration
From Fig. 5.2 and Fig. 5.3, we have Area of square WQRS = a2
Area of square WXYZ = b2 Now, from Fig. 5.4, we have
Area of square WQRS – Area of square WXYZ = Area of trapezium XQRY + Area of trapezium ZYRS
= Area of rectangle XQZS [from Fig. 5.7]
= XS . SZ [∴ Area of rectangle = Length x Breadth]
So, a2 – b2 = (a + b) (a – b)
Here, area is in square units.
Observation
On actual measurement, we get
a =…….. , b = …….. ,
So, a2 =…….. ,
b2 = …….. ,
a + b = …….. ,
a - b = …….. ,
a2 -b2 = …….. ,
and (a + b)(a - b) = …….. ,
Flence, a2 – b2 = (a + b) (a – b)
Result
The algebraic identity a2 – b2 = (a + b) (a – b) has been verified.
Application
The identity (a2 – b2) = (a + b)(a - b) can be used for
- calculating the difference of squares of two numbers.
- getting some products involving two numbers.
- simplification and factorization of algebraic expressions.
The document Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9 is a part of the Class 9 Course Lab Manuals for Class 9.
All you need of Class 9 at this link: Class 9
|
15 videos|98 docs
|
Related Exams
About this Document
|
Nov 22, 2024 Last updated |
Document Description: Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) for Class 9 2024 is part of Lab Manuals for Class 9 preparation.
The notes and questions for Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) have been prepared according to the Class 9 exam syllabus. Information about Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) covers topics
like and Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b).
Introduction of Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) in English is available as part of our Lab Manuals for Class 9
for Class 9 & Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) in Hindi for Lab Manuals for 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: Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9
Description
Full syllabus notes, lecture & questions for Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9 - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Lab Manuals for Class 9 | Best notes, free PDF download
Information about Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b)
In this doc you can find the meaning of Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) defined & explained in the simplest way possible. Besides explaining types of
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) theory, EduRev gives you an ample number of questions to practice Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) 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
video lectures
,Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9
,shortcuts and tricks
,ppt
,Extra Questions
,Previous Year Questions with Solutions
,mock tests for examination
,Exam
,Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9
,Semester Notes
,MCQs
,past year papers
,practice quizzes
,Important questions
,Summary
,study material
,Free
,Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) | Lab Manuals for Class 9
,Sample Paper
,Viva Questions
,Objective type Questions
;
Additional Information about Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) for Class 9 Preparation
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Free PDF Download
The Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) 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 Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) now and kickstart your journey towards success in the Class 9 exam.
Importance of Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b)
The importance of Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) 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.
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Notes
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b).
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, Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Notes on EduRev are your ultimate resource for success.
Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) Class 9 Questions
The "Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) 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 Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) on the App
Students of Class 9 can study Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b),
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 Lab Manual: Algebraic Identity a^2 – b^2 = (a+b) (a-b) 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