Answer:
(6P-4M)(6P+4M)
Step-by-step explanation:
[tex]36P^2-16M^2[/tex] can be factored using the "difference of squares" formula which is [tex]a^{2}-b^{2}=(a+b)(a-b)[/tex].
6*6=36 and 4*4=16; P*P=P^2 and M*M=M^2 -- from this we know that the two variables on each side of the minus sign are perfect squares. Now, see [tex]36P^2-16M^2[/tex] as [tex](6P)^2-(4M)^2[/tex] to make it fit nicer to the formula.
So, [tex](6P)^2-(4M)^2=(6P+4M)(6P-4M)[/tex].
If you forget the formula, you can always go backward on multiple-choice questions like this one. Use FOIL to expand your factored answers.
