# How do you simplify 4a^2c (2a - 5)?

##### 1 Answer
Jan 12, 2018

4a^2c(2a-5)=color(blue)(8a^3-20a^2c

#### Explanation:

Simplify.

$4 {a}^{2} c \left(2 a - 5\right)$

Expand using the distributive property: $a \left(b + c\right) = a b + a c$

$4 {a}^{2} c \left(2 a - 5\right) =$

$4 {a}^{2} c \times 2 a - 4 {a}^{2} c \times - 5$

Apply the product rule: ${b}^{m} \times {b}^{n} = {b}^{m + n}$

(No exponent is understood to be $1$.

$4 \times 2 {a}^{2 + 1} c - 4 {a}^{2} c \times - 5$

Simplify.

$8 {a}^{3} - 4 {a}^{2} c \times 5$

Expand.

$8 {a}^{3} - 20 {a}^{2} c$