Question

Which expression is equivalent to (3x + 8) (4x - 2)?

A. 7x - 6
B. 12x^2 - 30
C. 12x^2 - 3x - 16
D. 12x^2 + 26x - 16

Answer 1

Answer: 12x^2 + 26x - 16 (choice D)

Work Shown

(3x+8)(4x-2)

y(4x-2) .......... let y = 3x+8

4xy - 2y

4x( y ) - 2( y )

4x( 3x+8 ) - 2( 3x+8 ) ..... plug in y = 3x+8

4x(3x) + 4x(8) - 2(3x) - 2(8)

12x^2 + 32x - 6x - 16

12x^2 + 26x - 16

This matches with choice D

I used GeoGebra to confirm the answer. WolframAlpha is another option you could use. There are many others.