SOLUTION: Factor completely {{{c^2 -a^2 + 8a -16}}} Thank you!

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Question 279883: Factor completely
c%5E2+-a%5E2+%2B+8a+-16
Thank you!
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
c%5E2+-a%5E2+%2B+8a+-16


Factor -1 out of the last three terms:



c%5E2+-1%28a%5E2+-+8a+%2B16%29



Erase the 1



c%5E2+-%28a%5E2+-+8a+%2B16%29



Factor the trinomial in parentheses:





c%5E2+-%28a-4%29%28a-4%29



c%5E2-%28a-4%29%5E2



[c-(a-4)][c+(a-4)]



%28c-a%2B4%29%28c%2Ba-4%29



Edwin