Question

Simplify.

(2x+3)(3x+4)

A. 2x(3x+4)+3(3x+4)
B. 2x(2x+3)+3(3x+4)
C. 2x(3x+4)
D. 2x(3x+4)+(3x+4)

Answer 1

(2x+3)(3x+4)

=(2x+3)(3x+4)

=(2x)(3x)+(2x)(4)+(3)(3x)+(3)(4)

=6x²+8x+9x+12

=6x²+17x+12

Therefore, the answer is 6x²+17x+12

Answer 2

First I'd expand the brackets so that you can re-simplify the values, so:
(2x + 3)(3x + 4)
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
The answer A. 2x(3x + 4) + 3(3x + 4) can be simplified the same way, with 6x^2 + 8x + 9x + 12, and so the answer is A. I hope this helps!