SOLUTION: Factor the following completely: 9x^2 + 12xy + 4y^2 - 25

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Question 64086: Factor the following completely:
9x^2 + 12xy + 4y^2 - 25
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the following completely:
It helps to recognize a perfect square trinomial:
a%5E2%2B2ab%2Bb%5E2=%28a%2Bb%29%5E2
And the difference of squares:
a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
:
9x^2 + 12xy + 4y^2 - 25
%289x%5E2%2B12xy%2B4y%5E2%29-25
%28%283x%29%5E2%2B2%283x%29%282y%29%2B%282y%29%5E2%29-25
%283x%2B2y%29%5E2-25
%283x%2B2y%29%5E2-%285%29%5E2
%28%283x%2B2y%29%2B5%29%28%283x%2B2y%29-5%29
%283x%2B2y%2B5%29%283x%2B2y-5%29
Happy Calculating!!!