# How do you multiply (2x-3)(x^2+5x-3)?

Aug 5, 2015

=color(blue)(2x^3 +7x^2 -21x +9

#### Explanation:

color(blue)((2x−3))(x^2+5x−3)

Each term within the first bracket needs to be multiplied with each of the three terms within the second bracket.

=color(blue)((2x))(x^2+5x−3) - color(blue)((3))(x^2+5x−3)

$= 2 {x}^{3} + 10 {x}^{2} - 6 x - 3 {x}^{2} - 15 x + 9$

Grouping like terms

$= 2 {x}^{3} + \left(10 {x}^{2} - 3 {x}^{2}\right) + \left(- 6 x - 15 x\right) + 9$

=color(blue)(2x^3 +7x^2 -21x +9