# How do you multiply (2x-3)(x^4-2x^2+3)?

May 13, 2018

$2 {x}^{5} - 3 {x}^{4} - 4 {x}^{3} + 6 {x}^{2} + 6 x - 9$

#### Explanation:

Multiply each term in the second bracket by $2 x$ and then multiply each term by -3.

$\left(2 x - 3\right) \left({x}^{4} - 2 {x}^{2} + 3\right)$

$2 {x}^{5} - 4 {x}^{3} + 6 x - 3 {x}^{4} + 6 {x}^{2} - 9$

$2 {x}^{5} - 3 {x}^{4} - 4 {x}^{3} + 6 {x}^{2} + 6 x - 9$