Question

multiply (x - 2)(3x + 4) using the distributive property. select the answer choice showing the correct distribution.

a. (x)(3x + 4)+(x - 2)
b. (x - 2)(3x)+(3x)(4)
c. (x)(3x)+4(x)+3x + 4
d. (x - 2)(3x)+(x - 2)(4)

Explanation:

Step1: Recall distributive property

The distributive property for $(a + b)c=ac + bc$. Here $a=x$, $b = - 2$ and $c=3x + 4$. So $(x-2)(3x + 4)=(x - 2)(3x)+(x - 2)(4)$.

Answer:

D. $(x - 2)(3x)+(x - 2)(4)$