Question

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

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

Explanation:

Step1: Recall distributive property

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

Answer:

A. \((x - 2)(3x)+(x - 2)(4)\)