# What is the standard form of y(8y + 5)^2 ?

Dec 21, 2015

$16 {y}^{3} + 80 {y}^{2} + 25 y$

#### Explanation:

Completely distribute the expression.

First, square $\left(8 y + 5\right)$.

$y \left(8 y + 5\right) \left(8 y + 5\right)$

$y \left(16 {y}^{2} + 40 y + 40 y + 25\right)$

$y \left(16 {y}^{2} + 80 y + 25\right)$

$16 {y}^{3} + 80 {y}^{2} + 25 y$

This is in standard form—the degrees (exponents) are in descending order.