Q. 1 F3.6( 31 Votes )

# Let us factorise the following algebraic expressions:

(a – 1)x^{2} – x – (a – 2)

Answer :

The given expression can be rewritten as:

(a – 1)x^{2} – x((a - 1) – (a - 2)) – (a – 2)

⇒ (a – 1)x(x – 1) + (a – 2)(x – 1)

⇒ (x – 1)(ax – x + a - 2)

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