Question

Factorise the following by taking out a common binomial factor.
7(x - 3) - (x + 3)(x - 3)

Answer 1

(x - 3)(4 - x).

Explanation:

The common binomial factor is (x - 3) so we have:

7(x - 3) - (x + 3)(x - 3)

= (x - 3)( 7 - (x + 3))

= (x - 3)(4 - x)

Answer 2

Explanation:

7(x - 3) - (x + 3)(x - 3)

(x - 3)(7 - (x + 3))

(x - 3)(7 - x - 3)

(x - 3)(4 - x)