# How do you multiply 2y(y-4)?

Apr 28, 2017

$2 {y}^{2} - 8 y$

#### Explanation:

Use distribution $a \left(b + c\right) = a b + a c$ and the exponent rules$x = {x}^{1} \text{ and } {x}^{m} \cdot {x}^{n} = {x}^{m + n}$:

Given: $2 y \left(y - 4\right)$

Distribute: $2 y \left(y - 4\right) = 2 y y + 2 y \left(- 4\right)$

Simplify using multiplication and the exponent rules:

$= 2 {y}^{2} - 8 y$