The diagram represents a difference of squares.

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

a. (m - 2) (m + 18)

b. (m - 3) (m + 3)

c. (m - 4) (m + 9)

d. (m - 6) (m + 6)

The answer is d.

Explanation:

To start with, classify the first two terms and factor out the common factor. i. e m is a common factor of m2-6m. By factoring it out we get m (m-6).

Follow the same procedure for terms three and four. ie

6 is a common factor of 6m-36. By factoring out, 6 (m-6)

Regrouping

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

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

(m-6) (m+6)