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Factorize the given expression:

ab – a – b + 1

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a + 1 b − 1

a − 1 b − 1

a − 1 b + 1

a + 1 b + 1

answer is B.

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Detailed Solution

Given expression is

a b − a − b + 1

.
Rearrange the expression,

a b − b + 1 − a

Now, taking (a-1) the common factor,

a b − b + 1 − a = b a − 1 + 1 1 − a ⇒ b a − 1 − 1 a − 1 since, 1 − a = − a − 1 ⇒ a − 1 b − 1

Therefore, the factors of the given expression are

a − 1 and b − 1

.
Thus, the factorisation of

.
Hence, option 2 is correct.

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