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Rewriting a2 - b2 Identity
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
- Exercise Set 4.1
- Factorisation of Algebraic Expressions Using Identities
- Exercise Set 4.2
- More Identities
- Exercise Set 4.3
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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
Rewriting a2 - b2 Identity We know that π^πβπ^π=(π βπ)(π+π) Putting βπ^2 on right side, our identity becomes π^π=(π βπ)(π+π)+π^π We can visualize this like Our identity can be used to find square values, like Find γππγ^π Writing 55 = 50 + 5 So, we can write γππγ^π=(ππ βπ)(ππ+π)+π^π =50 Γ 60+25 =3,000+25 =π,πππ Letβs do more examples Using π^2=(π βπ)(π+π)+π^2 Putting π = ππ, π = π
