Question

Help+Medal
The expression (2x + 3)(3x + 4) simplifies to which of the following?
A. 2x(3x + 4) + (3x + 4)
B. 2x(2x + 3) + 3(3x + 4)
C. 2x(3x + 4) + 3(3x + 4)
D. 2x(3x + 4)
The answer i picked is C but i just want to make sure if i'm right.

Answer 1

Yes, C is right.

Answer 2

really?

Answer 3

It's the distributive law:
\[(a+b)\cdot c = ac + bc\]

And in this case:
\[a = 2x, b = 3, \text{and} \, c = (3x+4)\]