please, need help on factoring
posted by Anonymous .
factor x^3(x+y)^3

in general
a^3b^3 = (ab)(a^2 + a b + b^2)
so
(xxy)(x^2+x^2+xy +x^2+2xy+y^2)
y ( 3x^2+3xy+y^2) 
If you multiply out (x+y)^3 and subtract it, you get rid of the x^3 terms, and then factor out y.
x^3 (x^3 + 3x^2y + 3xy^2 +y^3)
= y(3x^2 + 3xy + y^2)
The term in parentheses does not factor with integer coefficients.
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