Question

The diagram represents a difference of squares.

Answer 1

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)

Answer 2

Answer:

Option D $(m-6)(m+6)$

Step-by-step explanation:

we have

$m^{2} -6m+6m-36$

Simplify

$m^{2} -6m+6m-36=m^{2} -36$

we know that

In a difference of square

$(a^{2}-b^{2})=(a+b)(a-b)$

Remember that

$36=6^{2}$

therefore

$(m^{2}-6^{2})=(m+6)(m-6)$