Q1 of 65 Page 145

Let us factorise the following algebraic expressions:
(a – 1)x² – x – (a – 2)

The given expression can be rewritten as:

(a – 1)x² – x((a - 1) – (a - 2)) – (a – 2)

⇒ (a – 1)x(x – 1) + (a – 2)(x – 1)

⇒ (x – 1)(ax – x + a - 2)

Let us factorise the following algebraic expressions:

7(a² + b²)² – 15(a⁴ – b⁴) + 8 (a² – b²)²

Let us factorise the following algebraic expressions:

(x² – 1)² + 8x(x² + 1) + 19x²

Let us factorise the following algebraic expressions:

(a – 1)x² + a²xy + (a + 1)y²

Let us factorise the following algebraic expressions:

x² – qx – p² + 5pq – 6q²

Questions · 65

8. Factorisation

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Let us factorise the following algebraic expressions:(a – 1)x2 – x – (a – 2)