How do you multiply (2x + 3) (3x^2 -2x + 1)(2x+3)(3x22x+1)?

1 Answer
Jul 27, 2015

=color(green)(6x^3+5x^2-4x+3=6x3+5x24x+3

Explanation:

color(blue)((2x+3))(3x^2−2x+1)(2x+3)(3x22x+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)=(2x)(3x22x+1)+(3)(3x22x+1)

=6x^3−4x^2+2x+9x^2−6x+3=6x34x2+2x+9x26x+3

Grouping like terms

=6x^3+9x^2−4x^2+2x−6x+3=6x3+9x24x2+2x6x+3

=6x^3+5x^2-4x+3=6x3+5x24x+3