Question

Factor this out please help​

Answer 1

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

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((5x^2y^3)/(5x^2y^2) +(15x^3y^2)/(5x^2y^2) )`

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

Answer 2

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

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)`