Question

Розкладіть на множники многочлен 5xy³-10x²y²​

Answer 1

Factoring the polynomial

The polynomial 5xy^3 - 10x^2y^2 can be factored as follows:

5xy^3 - 10x^2y^2 = 5x(y^3) - 10x^2(y^2) = 5x(y)(y^2) - 10x^2(y)(y) = (5xy - 10x^2)(y^2) = (5x - 10x)(y)(y^2) = (y^2)(y)(x(5 - 10)) = (y^3)(x(-5))

Therefore, the factored form of the polynomial is: (y^3)(x(-5))