Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Algebraic Expressions and Identities - Exercise 6.7
Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 Q u e s t i o n : 1 1 5 Find the following products: i (x + 4) (x + 7) ii (x - 11) (x + 4) iii (x + 7) (x - 5) iv (x - 3) ( x - 2) v (y 2 - 4) (y 2 - 3) vi x+43x+34 vii (3x + 5) (3x + 11) viii (2x 2 - 3) (2x 2 + 5) ix (z 2 + 2) (z 2 - 3) x (3x - 4y) (2x - 4y) xi (3x 2 - 4xy) (3x 2 - 3xy) xii x+15(x + 5) xiii z+34z+43 xiv (x 2 + 4) (x 2 + 9) xv (y 2 + 12) (y 2 + 6) xvi y2+57y2-145 xvii (p 2 + 16) p2-14 S o l u t i o n : i Here, we will use the identity x+ax+b=x2+a+bx+ab. x+4x+7=x2+4+7x+4×7=x2+11x+28 ii Here, we will use the identity x-ax+b=x2+b-ax-ab. x-11x+4=x2+4-11x-11×4=x2-7x-44 iii Here, we will use the identity ? x+ax-b=x2+a-bx-ab. x+7x-5=x2+7-5x-7×5=x2+2x-35 iv Here, we will use the identity ? x-ax-b=x2-a+bx+ab. x-3x-2=x2-3+2x+3×2=x2-5x+6 v Here, we will use the identity ? x-ax-b=x2-a+bx+ab. y2-4y2-3=y22-4+3y2+4×3=y4-7y2+12 vi Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x+43x+34=x2+43+34x+43×34=x2+2512x+1 vii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. 3x+53x+11=3x2+5+113x+5×11=9x2+48x+55 viii Here, we will use the identity ? x-ax+b=x2+b-ax-ab. 2x2-32x2+5=2x22+5-32x2-3×5=4x4+4x2-15 ix Here, we will use the identity ? x+ax-b=x2+a-bx-ab. z2+2z2-3=z22+2-3z2-2×3=z4-z2-6 x Here, we will use the identity ? x-ax-b=x2-a+bx+ab. 3x-4y2x-4y=4y-3x4y-2x (Taking common -1 from both parentheses)=4y2-3x+2x4y+3x×2x=16y2-12xy+8xy+6x2=16y2-20xy+6x2 xi Here, we will use the identity ? x-ax-b=x2-a+bx+ab. 3x2-4xy3x2-3xy=3x22-4xy+3xy3x2+4xy×3xy=9x4-12x3y+9x3y+12x2y2=9x4-21x3y+12x2y2 xii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x+15x+5=x2+15+5x+15×5=x2+265x+1 xiii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. z+34z+43=z2+34+43x+34×43=z2+2512z+1 xiv Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x2+4x2+9=x22+4+9x2+4×9=x4+13x2+36 xv Here, we will use the identity ? x+ax+b=x2+a+bx+ab. y2+12y2+6=y22+12+6y2+12×6=y4+18y2+72 xvi Here, we will use the identity ? x+ax-b=x2+a-bx-ab. y2+57y2-145=y22+57-145y2-57×145=y4-7335y2-2 xvii Here, we will use the identity ? x+ax-b=x2+a-bx-ab. p2+16p2-14=p22+16-14p2-16×14=p4+634p2-4 Q u e s t i o n : 1 1 6 Evaluate the following: i 102 × 106 ii 109 × 107 iii 35 × 37 iv 53 × 55 v 103 × 96 vi 34 × 36 vii 994 × 1006 S o l u t i o n : i Here, we will use the identity x+ax+b=x2+a+bx+ab 102×106=100+2100+6=1002+2+6100+2×6=10000+800+12=10812 ii Here, we will use the identity x+ax+b=x2+a+bx+ab 109 × 107=100+9100+7=1002+9+7100+9×7=10000+1600+63=11663 iii Here, we will use the identity x+ax+b=x2+a+bx+ab 35 × 37=30+530+7=302+5+730+5×7=900+360+35=1295 iv Here, we will use the identity x+ax+b=x2+a+bx+ab 53 × 55=50+350+5=502+3+550+3×5=2500+400+15=2915 Page 2 Q u e s t i o n : 1 1 5 Find the following products: i (x + 4) (x + 7) ii (x - 11) (x + 4) iii (x + 7) (x - 5) iv (x - 3) ( x - 2) v (y 2 - 4) (y 2 - 3) vi x+43x+34 vii (3x + 5) (3x + 11) viii (2x 2 - 3) (2x 2 + 5) ix (z 2 + 2) (z 2 - 3) x (3x - 4y) (2x - 4y) xi (3x 2 - 4xy) (3x 2 - 3xy) xii x+15(x + 5) xiii z+34z+43 xiv (x 2 + 4) (x 2 + 9) xv (y 2 + 12) (y 2 + 6) xvi y2+57y2-145 xvii (p 2 + 16) p2-14 S o l u t i o n : i Here, we will use the identity x+ax+b=x2+a+bx+ab. x+4x+7=x2+4+7x+4×7=x2+11x+28 ii Here, we will use the identity x-ax+b=x2+b-ax-ab. x-11x+4=x2+4-11x-11×4=x2-7x-44 iii Here, we will use the identity ? x+ax-b=x2+a-bx-ab. x+7x-5=x2+7-5x-7×5=x2+2x-35 iv Here, we will use the identity ? x-ax-b=x2-a+bx+ab. x-3x-2=x2-3+2x+3×2=x2-5x+6 v Here, we will use the identity ? x-ax-b=x2-a+bx+ab. y2-4y2-3=y22-4+3y2+4×3=y4-7y2+12 vi Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x+43x+34=x2+43+34x+43×34=x2+2512x+1 vii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. 3x+53x+11=3x2+5+113x+5×11=9x2+48x+55 viii Here, we will use the identity ? x-ax+b=x2+b-ax-ab. 2x2-32x2+5=2x22+5-32x2-3×5=4x4+4x2-15 ix Here, we will use the identity ? x+ax-b=x2+a-bx-ab. z2+2z2-3=z22+2-3z2-2×3=z4-z2-6 x Here, we will use the identity ? x-ax-b=x2-a+bx+ab. 3x-4y2x-4y=4y-3x4y-2x (Taking common -1 from both parentheses)=4y2-3x+2x4y+3x×2x=16y2-12xy+8xy+6x2=16y2-20xy+6x2 xi Here, we will use the identity ? x-ax-b=x2-a+bx+ab. 3x2-4xy3x2-3xy=3x22-4xy+3xy3x2+4xy×3xy=9x4-12x3y+9x3y+12x2y2=9x4-21x3y+12x2y2 xii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x+15x+5=x2+15+5x+15×5=x2+265x+1 xiii Here, we will use the identity ? x+ax+b=x2+a+bx+ab. z+34z+43=z2+34+43x+34×43=z2+2512z+1 xiv Here, we will use the identity ? x+ax+b=x2+a+bx+ab. x2+4x2+9=x22+4+9x2+4×9=x4+13x2+36 xv Here, we will use the identity ? x+ax+b=x2+a+bx+ab. y2+12y2+6=y22+12+6y2+12×6=y4+18y2+72 xvi Here, we will use the identity ? x+ax-b=x2+a-bx-ab. y2+57y2-145=y22+57-145y2-57×145=y4-7335y2-2 xvii Here, we will use the identity ? x+ax-b=x2+a-bx-ab. p2+16p2-14=p22+16-14p2-16×14=p4+634p2-4 Q u e s t i o n : 1 1 6 Evaluate the following: i 102 × 106 ii 109 × 107 iii 35 × 37 iv 53 × 55 v 103 × 96 vi 34 × 36 vii 994 × 1006 S o l u t i o n : i Here, we will use the identity x+ax+b=x2+a+bx+ab 102×106=100+2100+6=1002+2+6100+2×6=10000+800+12=10812 ii Here, we will use the identity x+ax+b=x2+a+bx+ab 109 × 107=100+9100+7=1002+9+7100+9×7=10000+1600+63=11663 iii Here, we will use the identity x+ax+b=x2+a+bx+ab 35 × 37=30+530+7=302+5+730+5×7=900+360+35=1295 iv Here, we will use the identity x+ax+b=x2+a+bx+ab 53 × 55=50+350+5=502+3+550+3×5=2500+400+15=2915 v Here, we will use the identity x+ax-b=x2+a-bx-ab 103 × 96=100+3100-4=1002+3-4100-3×4=10000-100-12=9888 vi Here, we will use the identity x+ax+b=x2+a+bx+ab 34 × 36=30+430+6=302+4+630+4×6=900+300+24=1224 vii Here, we will use the identity x-ax+b=x2+b-ax-ab 994 × 1006=1000-6×1000+6=10002+6-6×1000-6×6=1000000-36=999964 Processing math: 36% Contrib /a11y/accessibility-menu.jsRead More
|
79 videos|408 docs|31 tests
|
Related Exams
About this Document
|
4.91/5 Rating |
|
Nov 24, 2024 Last updated |
Document Description: Algebraic Expressions and Identities - Exercise 6.7 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation.
The notes and questions for Algebraic Expressions and Identities - Exercise 6.7 have been prepared according to the Class 8 exam syllabus. Information about Algebraic Expressions and Identities - Exercise 6.7 covers topics
like and Algebraic Expressions and Identities - Exercise 6.7 Example, for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Algebraic Expressions and Identities - Exercise 6.7.
Introduction of Algebraic Expressions and Identities - Exercise 6.7 in English is available as part of our Mathematics (Maths) Class 8
for Class 8 & Algebraic Expressions and Identities - Exercise 6.7 in Hindi for Mathematics (Maths) Class 8 course.
Download more important topics related with notes, lectures and mock test series for Class 8
Exam by signing up for free. Class 8: Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8
Description
Full syllabus notes, lecture & questions for Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8 - Class 8 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 8 | Best notes, free PDF download
Information about Algebraic Expressions and Identities - Exercise 6.7
In this doc you can find the meaning of Algebraic Expressions and Identities - Exercise 6.7 defined & explained in the simplest way possible. Besides explaining types of
Algebraic Expressions and Identities - Exercise 6.7 theory, EduRev gives you an ample number of questions to practice Algebraic Expressions and Identities - Exercise 6.7 tests, examples and also practice Class 8
tests
|
Explore Courses for Class 8 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Exam
,Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8
,Important questions
,past year papers
,Objective type Questions
,MCQs
,study material
,Summary
,Viva Questions
,Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8
,practice quizzes
,Free
,video lectures
,Extra Questions
,mock tests for examination
,Previous Year Questions with Solutions
,Semester Notes
,Algebraic Expressions and Identities - Exercise 6.7 | Mathematics (Maths) Class 8
,Sample Paper
,ppt
,shortcuts and tricks
;
Additional Information about Algebraic Expressions and Identities - Exercise 6.7 for Class 8 Preparation
Algebraic Expressions and Identities - Exercise 6.7 Free PDF Download
The Algebraic Expressions and Identities - Exercise 6.7 is an invaluable resource that delves deep into the core of the Class 8 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 Algebraic Expressions and Identities - Exercise 6.7 now and kickstart your journey towards success in the Class 8 exam.
Importance of Algebraic Expressions and Identities - Exercise 6.7
The importance of Algebraic Expressions and Identities - Exercise 6.7 cannot be overstated, especially for Class 8 aspirants.
This document holds the key to success in the Class 8 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.
Algebraic Expressions and Identities - Exercise 6.7 Notes
Algebraic Expressions and Identities - Exercise 6.7 Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Algebraic Expressions and Identities - Exercise 6.7.
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, Algebraic Expressions and Identities - Exercise 6.7 Notes on EduRev are your ultimate resource for success.
Algebraic Expressions and Identities - Exercise 6.7 Class 8 Questions
The "Algebraic Expressions and Identities - Exercise 6.7 Class 8 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 8 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 Algebraic Expressions and Identities - Exercise 6.7 on the App
Students of Class 8 can study Algebraic Expressions and Identities - Exercise 6.7 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Algebraic Expressions and Identities - Exercise 6.7,
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 Algebraic Expressions and Identities - Exercise 6.7 is prepared as per the latest Class 8 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