Example 10 - Simplify (a + b) (2a - 3b + c) - (2a - 3b)c - Class 8

Example 10 - Chapter 9 Class 8 Algebraic Expressions and Identities - Part 2

  1. Chapter 9 Class 8 Algebraic Expressions and Identities
  2. Serial order wise

Transcript

Example 10 Simplify (a + b) (2a โ€“ 3b + c) โ€“ (2a โ€“ 3b) c. Here there are two expressions 1st expression = (๐‘Ž+๐‘) (2๐‘Žโˆ’3๐‘+๐‘) 2nd expression = (2๐‘Žโˆ’3๐‘) ๐‘ Solving 1st expression (๐‘Ž+๐‘) (2๐‘Žโˆ’3๐‘+๐‘) = ๐‘Ž(2๐‘Žโˆ’3๐‘+๐‘)+๐‘(2๐‘Žโˆ’3๐‘+๐‘) = (๐‘Žร—2๐‘Ž)โˆ’(๐‘Žร—3๐‘)+(๐‘Žร—๐‘)+(๐‘ร—2๐‘Ž)โˆ’(๐‘ร—3๐‘)+(๐‘ร—๐‘) = 2๐‘Ž^2โˆ’3๐‘Ž๐‘+๐‘Ž๐‘+2๐‘Ž๐‘โˆ’3๐‘^2+๐‘๐‘ = 2๐‘Ž^2โˆ’3๐‘^2+๐‘Ž๐‘+๐‘๐‘โˆ’3๐‘Ž๐‘ +2๐‘Ž๐‘ = 2๐‘Ž^2โˆ’3๐‘^2+๐‘Ž๐‘+๐‘๐‘โˆ’๐‘Ž๐‘ Solving 2nd expression (2๐‘Žโˆ’3๐‘)๐‘ = 2๐‘Ž๐‘โˆ’3๐‘๐‘ Now, our expression is (๐‘Ž+๐‘)(2๐‘Žโˆ’3๐‘+๐‘)โˆ’(2๐‘Žโˆ’3๐‘)๐‘ = 2๐‘Ž^2โˆ’3๐‘^2+๐‘Ž๐‘+๐‘๐‘โˆ’๐‘Ž๐‘โˆ’(2๐‘Ž๐‘โˆ’3๐‘๐‘) = 2๐‘Ž^2โˆ’3๐‘^2+๐‘Ž๐‘+๐‘๐‘โˆ’๐‘Ž๐‘โˆ’2๐‘Ž๐‘+3๐‘๐‘ = 2๐‘Ž^2โˆ’3๐‘^2โˆ’๐‘Ž๐‘+(๐‘Ž๐‘โˆ’2๐‘Ž๐‘)+(๐‘๐‘+3๐‘๐‘) = ๐Ÿ๐’‚^๐Ÿโˆ’๐Ÿ‘๐’ƒ^๐Ÿโˆ’๐’‚๐’ƒโˆ’๐’‚๐’„+๐Ÿ’๐’ƒ๐’„

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.