Question

What are the factors of m2 – 6m + 6m – 36? (m – 2)(m + 18) (m – 3)(m + 3) (m – 4)(m + 9) (m – 6)(m + 6)

Answer 1

Answer:

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

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

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

Answer 2

(m – 6)(m + 6) is the answer.
If you distribute them, you'll get m^2 - 36