# How do you simplify 10x(x^2-10)?

Oct 3, 2015

$10 x \left({x}^{2} - 10\right) = 10 {x}^{3} - 100 x$

#### Explanation:

$10 x \left({x}^{2} - 10\right)$

Apply the distributive property $a \left(b + c\right) = a b + a c$.

$10 x \left({x}^{2}\right) + 10 x \left(- 10\right)$

Apply the exponent rule ${a}^{m} \times {a}^{n} = {a}^{m + n}$.

$10 {x}^{1 + 2} + 10 x \left(- 10\right) =$

$10 {x}^{3} + 10 x \left(- 10\right) =$

$10 {x}^{3} - 100 x$