SOLUTION: please help me solve this problem! Factor. 4(a+5)^2 +20(a+5)+25

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me solve this problem! Factor. 4(a+5)^2 +20(a+5)+25      Log On


   

Question 60787: please help me solve this problem! Factor. 4(a+5)^2 +20(a+5)+25
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can simplify this a bit by temporarily replacing (a+5) with another variable, such as y. Rewriting the expression, we get:
4y%5E2+%2B+20y+%2B+25 this can be factored as:
%282y%2B5%29%282y%2B5%29 now replace the y with (a+5)
%282%28a%2B5%29%2B5%29%282%28a%2B5%29%2B5%29 ...and simplify.
%282a%2B10%2B5%29%282a%2B10%2B5%29
%282a%2B15%29%282a%2B15%29...and that's it!