Factors of $a^{2} - a + a b - b$ are __________.

(a - 1) (2 - a)

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(a - 1) (a - b)

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(a - 1) (a + b)

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(a - 1) (1 - a + b)

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Solution

The correct option is C $(a - 1) (a + b)$
Factorise $a^{2} - a + a b - b$ .

$a^{2} - a + a b - b$
= $a (a - 1) + b (a - 1)$ [Grouping the terms]
= $(a - 1) (a + b)$

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Similar questions

The factors of $a^{2} + b - a b - a$ are :

Which of the following are the factors of a^{2} + b - a b - a ?

a^{2} + b - a b - a

a^{2} + b - a b - a

a^{2} - b^{2} = (a + b) (a - b)

1 + 2 a b - (a^{2} + b^{2})

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