SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{7c^2+14cd+7d^2-63f^2}}} I really appriciate it. I am not getting this section at

Algebra ->  Functions -> SOLUTION: Can you help me solve the following problem. It is to Factor the polynomial completely. {{{7c^2+14cd+7d^2-63f^2}}} I really appriciate it. I am not getting this section at       Log On


   

Question 121493: Can you help me solve the following problem. It is to Factor the polynomial completely.
7c%5E2%2B14cd%2B7d%5E2-63f%5E2
I really appriciate it. I am not getting this section at all.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
start with the common factor 7 __ 7(c^2+2cd+d^2-9f^2)

c^2+2cd+d^2 can be factored into (c+d)(c+d) or (c+d)^2
__ this means we're seeing the difference of two squares

7((c+d)^2-(3f)^2)=7(c+d+3f)(c+d-3f)