Question

Which of the following is equivalent to (5x-6) (2x+3)

A.) (5x -6)(2x) - (5x-6)(3)

B.) (5x -6)(2x) + (-6)(3)

C.) (5x)(2x) + (6)(3)

D.) (5x -6)(2x) + (5x-6)(3)

Answer 1

D.) (5x -6)(2x) + (5x-6)(3)

Answer 2

D.) (5x-6)(2x) + (5x-6)(3)

Explanation:

`(5x-6)(2x+3) = 10x^2+3x -18\\`

Next, simplify all of the answers.

`A.) 10x^2-27x -18\\B.)10x^2-12x-18\\C.)10x^2+18\\D.)10x^2-3x-18`

The only one that is equal to the original equation is D.

Hope this helps!