Question

Multiply (x – 4)(2x + 3) using the distributive property. Select the answer choice showing the correct distribution.

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

Answer 1

Answer: D

Explanation:

A P E X

Answer 2

D.

`(x - 4)(2x) + (x - 4)(3)`

EXPLANATION

The given product is;

`(x - 4)(2x + 3)`

Recall and use the distributive property ;

`(a + b)(c + d) = a(c + d) + b(c + d)`

We use this property to obtain,

`(x - 4)(2x) + (x - 4)(3)`

The correct choice is D