Question

Completely factor the expression
5x^2y+30xy^2+45y^3

Answer 1

Forgot to say show your work, please!

Answer 2

First, factor out a 5y (since 5 and y go evenly into each term).
\[5y(x^2+6xy+9y^2)\]
Notice that \[x^2+6xy+9y^2\]is a perfect square:

\[5y(x+3y)^2\]