# How do you factor 9x^2+30xy+25y^2?

Mar 13, 2018

$\left(3 x + 5 y\right) \left(3 x + 5 y\right)$

#### Explanation:

Start by factoring the first expression, $9 {x}^{2}$

There are two possibilities for the 9, either $9 \cdot 1$ or $3 \cdot 3$ and one possibility for the ${x}^{2}$, only $x \cdot x$

Factoring the last expression $25 {y}^{2}$ also has few possibilities, $25 \cdot 1 \mathmr{and} 5 \cdot 5$, and $y \cdot y$

The standard equation is ${x}^{2} + 2 x y + {y}^{2}$, and $2 \cdot 3 \cdot 5 = 30$ so the solution is $\left(3 x + 5 y\right) \left(3 x + 5 y\right)$