Question

question 7 of 10 multiply (x - 3)(4x + 2) using the distributive property. select the answer choice showing the correct distribution. a. (x)(4x + 2)+(x - 3) b. (x - 3)(4x)+(4x)(2) c. (x)(4x)+2(x)+4x + 2 d. (x - 3)(4x)+(x - 3)(2)

Explanation:

Step1: Recall distributive property

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

Answer:

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