Question

Factor completely 5xy3 15x3y2 − 30x2y2. 5(xy3 3x3y2 − 6x2y2) 5x(y3 3x2y2 − 6xy2) 5xy2(y 3x2 − 6x) Prime.

Answer 1

Factoring an expression involves rewriting the expression in simplier form

The factored expression of $5xy^3 + 15x^3y^2 - 30x^2y^2$ is $5xy^2(y + 3x^2 - 6x)$

How to factor the expression

The expression is given as:

$5xy^3 + 15x^3y^2 - 30x^2y^2$

Factor out 5x from the expression

$5x(y^3 + 3x^2y^2 - 6xy^2)$

Factor out y^2 from the expression

$5xy^2(y + 3x^2 - 6x)$

Hence, the factored expression of $5xy^3 + 15x^3y^2 - 30x^2y^2$ is $5xy^2(y + 3x^2 - 6x)$

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