SOLUTION: Factor completely. 80c^2+200cd+125d^2= I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated. Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Factor completely. 80c^2+200cd+125d^2= I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated. Thanks      Log On


   

Question 606738: Factor completely.
80c^2+200cd+125d^2=
I have tried so many times to get this right, and for the life of me I can't get it right. Any help is appreciated.
Thanks
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely.
80c^2+200cd+125d^2
---------------
All coefficients are multiples of 5
80c%5E2%2B200cd%2B125d%5E2+=+5%2A%2816c%5E2%2B40cd%2B25d%5E2%29
16c%5E2%2B40cd%2B25d%5E2%29 is a perfect square.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
first factor out the obvious 5
5*(16c^2+40cd+25d^2)
5*(4c+5d)^2