SOLUTION: Factor Completely: {{{y^4 *(y+2)^3 + y^5 (y+2)^4}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor Completely: {{{y^4 *(y+2)^3 + y^5 (y+2)^4}}}      Log On


   

Question 540954: Factor Completely:
y%5E4+%2A%28y%2B2%29%5E3+%2B+y%5E5+%28y%2B2%29%5E4
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if we let a = (y+2), then this expression becomes:
y%5E4%2Aa%5E3+%2B+y%5E5%2Aa%5E4
we can factor out a y^4 and an a^3 to get:
y%5E4a%5E3%281%2Bya%29
we now replace a with (y+2) to get:
%28y%5E4%28y%2B2%29%5E3%29%281%2By%28y%2B2%29%29%29