# How do you factor #qs-11s+qf-11f#?

##### 1 Answer

May 23, 2016

(q - 11)(s + f)

#### Explanation:

Group the terms into 'pairs'

thus [qs - 11s ] + [qf - 11f)

now factorise each pair.

hence : s(q - 11) + f(q - 11)

There is now a common factor of (q - 11) which can be taken out.

hence : (q - 11)(s + f)