How do you find the product of (6x + 9)(x + 4) (6x+9)(x+4)?

2 Answers
Sep 5, 2016

6x^2 +33x +366x2+33x+36

Explanation:

Each term in the first bracket must be multiplied by each term in the second bracket.

(color(red)(6x)color(blue)(+9))(x+4)(6x+9)(x+4)

=color(red)(6x xx x + 6x xx 4) + color(blue)(9 xx x + 9 xx4)6x×x+6x×4+9×x+9×4

=color(red)(6x^2 + 24x) + color(blue)(9x + 366x2+24x+9x+36

=6x^2 +33x +366x2+33x+36

Sep 5, 2016

(6x+9)(x+4)(6x+9)(x+4)
x(6x+9)+4(6x+9)x(6x+9)+4(6x+9)
6x²+9x+24x+36
6x²+33x+36