Question

9. Is (a - 1) (b - 1) the factorisation of (ab - a - b +1) or (ab - a + b - 1)?​

Answer 1

Answer:

The correct answer is (a-1) (b-1) is the factorisation of (ab-a-b+1)

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Answer 2

Given:

(a - 1) (b - 1)

To Find:

To check if it is factorisation of (ab - a - b +1) or (ab - a + b - 1)

Solution:

To check if (a - 1) (b - 1) is a factorisation of (ab - a - b +1) or (ab - a + b - 1)

We will simplify  (a - 1) (b - 1)

⇒ (a - 1) (b - 1) = a×(b-1) - 1×(b-1)

⇒ (a - 1) (b - 1) = (ab - a - b + 1)

Hence,  (a - 1) (b - 1) is the factorisation of (ab - a - b +1).