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![We have seen that (x + 3)(x + 4) = x^2 + 7x + 12 [Class 9 Chapter 4] - Factorisation Using Algebra Tiles](https://cdn.teachoo.com/6c36c5de-fb6c-4505-b9be-f4323ed4ca29/slide117.jpg)
Question 1 - Think & Reflect (Page 80) - Factorisation Using Algebra Tiles - Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I)
Last updated at May 15, 2026 by Teachoo
Factorisation Using Algebra Tiles
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
- 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
Question 1 - Think & Reflect (Page 80) We have seen that (𝑥+3)(𝑥+4)=𝑥^2+7𝑥+12. Also (𝑥+6)(𝑥+7)=𝑥^2+13𝑥+42. Generalise the pattern to get an expression for (𝑥+𝑎)(𝑥+𝑏). We need to generalize the pattern for (𝑥+𝑎)(𝑥+𝑏). Based on our tiles, we know: The 𝑥 terms are always 𝑎𝑥+𝑏𝑥, which combines to (𝒂+𝒃)𝒙. The unit tiles are always 𝑎×𝑏, which is 𝒂𝒃. Thus, we can write (𝒙+𝒂)(𝒙+𝒃)=𝒙^𝟐+(𝒂+𝒃)𝒙+𝒂𝒃 We will use this fact when we factorise using Splitting the Middle Term
