Example 10 - Chapter 8 Class 8 Algebraic Expressions and Identities
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 10 Simplify (a + b) (2a โ 3b + c) โ (2a โ 3b) c. Here there are two expressions 1st expression = (๐+๐) (2๐โ3๐+๐) 2nd expression = (2๐โ3๐) ๐ Solving 1st expression (๐+๐) (2๐โ3๐+๐) = ๐(2๐โ3๐+๐)+๐(2๐โ3๐+๐) = (๐ร2๐)โ(๐ร3๐)+(๐ร๐)+(๐ร2๐)โ(๐ร3๐)+(๐ร๐) = 2๐^2โ3๐๐+๐๐+2๐๐โ3๐^2+๐๐ = 2๐^2โ3๐^2+๐๐+๐๐โ3๐๐ +2๐๐ = 2๐^2โ3๐^2+๐๐+๐๐โ๐๐ Solving 2nd expression (2๐โ3๐)๐ = 2๐๐โ3๐๐ Now, our expression is (๐+๐)(2๐โ3๐+๐)โ(2๐โ3๐)๐ = 2๐^2โ3๐^2+๐๐+๐๐โ๐๐โ(2๐๐โ3๐๐) = 2๐^2โ3๐^2+๐๐+๐๐โ๐๐โ2๐๐+3๐๐ = 2๐^2โ3๐^2โ๐๐+(๐๐โ2๐๐)+(๐๐+3๐๐) = ๐๐^๐โ๐๐^๐โ๐๐โ๐๐+๐๐๐
Examples
Example 2 Important
Example 3
Example 4 Important
Example 5 (i)
Example 5 (ii) Important
Example 6 (i)
Example 6 (ii) Important
Example 7
Example 8 (i)
Example 8 (ii)
Example 9 (i)
Example 9 (ii) Important
Example 10 You are here
Question 1 (i)
Question 1 (ii) Important
Question 2 (i)
Question 2 (ii) Important
Question 3 (i)
Question 3 (ii) Important
Question 3 (iii)
Question 4 (i)
Question 4 (ii) Important
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo