Question

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

Answer 1

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

Explanation:

5xy^3 + 15x^3y^2 − 30x^2y^2

The GCF is 5xy^2 so dividing through by this we get the factors:

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

Answer 2

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

Explanation:

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

To factor out an expression, factor out GCF

`5xy^3= 5 \cdot x \cdot y \cdot y \cdot y`

`15x^3y^2= 5 \cdot 3 \cdot x \cdot x \cdot x \cdot y \cdot y`

`30x^2y^2= 5 \cdot 2 \cdot 3 \cdot x \cdot x \cdot y \cdot y`

GCF is 5 times x times y time y

GCF is 5xy^2. Factor out GCF

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

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