The diagram represents a difference of squares.

What are the factors of m2 - 6m + 6m - 36?

The factors are

(m-6) (m+6)

Explanation:

Group the first two terms and factor out the common factor:

i. e m (m-6)

Repeat the procedure for terms 3 and 4.

6 (m-6)

Regrouping:

m (m-6) + 6 (m-6)

On factoring out (m-6), we get:

(m-6) (m+6)