Question

Factorise the following:
$(x - 1) - 3(x - 1) ^{2} + b - bx$
​

Answer 1

SOLUTION

TO FACTORISE

$\sf{(x - 1) - 3 {(x - 1)}^{2} + b - bx}$

EVALUATION

Here the given expression is

$\sf{(x - 1) - 3 {(x - 1)}^{2} + b - bx}$

We factorise it as below

$\sf{(x - 1) - 3 {(x - 1)}^{2} + b - bx}$

$\sf{ = (x - 1) - 3 {(x - 1)}^{2} + b (1- x)}$

$\sf{ = (x - 1) - 3 {(x - 1)}^{2} - b (x - 1)}$

$\sf{ = (x - 1)[1 - 3(x - 1) - b] }$

$\sf{ = (x - 1)[1 - 3x + 3- b] }$

$\sf{ = (x - 1)[ - 3x + 2- b] }$

$\sf{ = (1 - x )(3x - 2 + b) }$

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