How do you use the sum of two cubes formula to factor $xy^4+x^4y$ ?

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Answer 1 · 2015-05-01T02:20:05

f(x) = x.y.(y^3 + x^3)

Use the identity: $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

$f(x) = x.y.(x + y).(x^2 - x.y + y^2)$

How do you use the sum of two cubes formula to factor xy^4+x^4yxy^4+x^4y?