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Ex 4.1, 2
Last updated at May 15, 2026 by Teachoo
Class 9
Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
- Consecutive Square Numbers
- Visualising Algebraic Identities
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Exercise Set 4.1
- Factorisation of Algebraic Expressions Using Identities
- Exercise Set 4.2
- More Identities
- Exercise Set 4.3
- Rewriting a2 - b2 Identity
- Factorisation Using Algebra Tiles
- Factorisation by Splitting the Middle term
- Exercise Set 4.4
- Finding New Algebraic Identities
- Simplifying Rational Expressions
- Exercise Set 4.5
- Word Problems
- End-of-Chapter Exercises
Transcript
Ex 4.1, 2 (i) Using the same identity, find the values of the following: (i) (64)^2 64^2 =(𝟔𝟎+𝟒)^𝟐 = 60^2+4^2+2 × 60 × 4 = 3600+16+60 × 8 = 3600+16+480 = 𝟒𝟎𝟗𝟔 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 60 & 𝑏 = 4 Ex 4.1, 2 (ii) Using the same identity, find the values of the following: (ii) (105)^2 105^2 =(𝟏𝟎𝟎+𝟓)^𝟐 = 100^2+5^2+2 × 100 × 5 = 10,000+25+10 × 100 = 10,000+25+1,000 = 𝟏𝟏,𝟎𝟐𝟓 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 100 & 𝑏 = 5 Ex 4.1, 2 (iii) Using the same identity, find the values of the following: (iii) (205)^2 205^2 =(𝟐𝟎𝟎+𝟓)^𝟐 = 200^2+5^2+2 × 200 × 5 = 40,000+25+10 × 200 = 40,000+25+2,000 = 𝟒𝟐,𝟎𝟐𝟓 (𝑎+𝑏)^2=𝑎^2+𝑏^2+2𝑎𝑏 Putting 𝑎 = 200 & 𝑏 = 5
