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

1 Answer
Jul 27, 2015

Answer:

#=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#

#=6x^3+5x^2-4x+3#