Answer:
[tex]5xy^2(y+ 3x^2- 6x)[/tex]
Step-by-step explanation:
[tex]5xy^3 + 15x^3y^2 - 30x^2y^2[/tex]
To factor out an expression, factor out GCF
[tex]5xy^3= 5 \cdot x \cdot y \cdot y \cdot y[/tex]
[tex]15x^3y^2= 5 \cdot 3 \cdot x \cdot x \cdot x \cdot y \cdot y[/tex]
[tex]30x^2y^2= 5 \cdot 2 \cdot 3 \cdot x \cdot x \cdot y \cdot y[/tex]
GCF is 5 times x times y time y
GCF is 5xy^2. Factor out GCF
[tex]5xy^3 + 15x^3y^2 - 30x^2y^2[/tex]
[tex]5xy^2(y+ 3x^2- 6x)[/tex]
