# How do you multiply (2x + 3) (3x^2 -2x + 1)?

Jul 27, 2015

=color(green)(6x^3+5x^2-4x+3

#### Explanation:

color(blue)((2x+3))(3x^2−2x+1)

Here, we need to multiply each term within the first bracket with all three terms of the second bracket.

=color(blue)((2x))(3x^2−2x+1)+color(blue)((3))(3x^2−2x+1)

=6x^3−4x^2+2x+9x^2−6x+3

Grouping like terms

=6x^3+9x^2−4x^2+2x−6x+3

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