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

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

Answer 2

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

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)`