Question

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

Answer 1

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)`