Question

Розкласти на множники: х^6- х^4y^2- х^3+ х^2у.

Answer 1

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x^6 - x^4 * y^2 - x^3 + x^2 * y =

= x^2 * (x^4 - x^2 * y^2 - x^2 + y) =

= x^2 * (x^2 - y) * (x^2 - y^2)

So the full factorization is:

x^6 - x^4 * y^2 - x^3 + x^2 * y = x^2 * (x^2 - y) * (x^2 - y^2)