Question

Factor this out please help​

Answer 1

Answer:

$5x^2y^2(y+3x)$

Step-by-step explanation:

$5x^2y^3+15x^3y^2$

First, find the greatest common factor (GCF) of the 2 terms.

What is the greatest number that divides evenly into both terms? $5$

What is the highest power of x that is present in both terms? $x^{2}$

What is the highest power of y that is present in both terms? $y^2$

Multiply these together:

$5x^2y^2$

Now factor the GCF out of the expression:

$5x^2y^3+15x^3y^2$

$5x^2y^2(\frac{5x^2y^3}{5x^2y^2} +\frac{15x^3y^2}{5x^2y^2} )$

$5x^2y^2(y+3x)$

Answer 2

Answer:

$\large\boxed{5x^2y^3+15x^3y^2=5x^2y^2(y+3x)}$

Step-by-step explanation:

$5x^2y^3=\boxed{5}\boxed{x}\boxed{x}\boxed{y}\boxed{y}y=\boxed{5x^2y^2}y\\\\15x^3y^2=3\cdot\boxed5\boxed{x}\boxed{x}x\boxed{y}\boxed{y}=\boxed{5x^2y^2}3x\\\\5x^3y^2+15x^3y^2=\boxed{5x^2y^2}(y+3x)$