Question

Which of the following statements correctly uses the distributive property?

-3(12 + 5) = -3(12) - (-3)(5)
7(9 - 8) = 7(9) - 8
-2(15 - 3) = -2(15) + (-2)(3)
9(-7 + 6) = 9(-7) + 9(6)

Answer 1

the last one correctly uses the distributive property 

Answer 2

Option D.

Explanation:

Distributive law states that a(b + c ) = ab + ac

Option A. -3( 12 + 5) = - 3(12) - (-3)(5)

While the correct solution should be

-3( 12 + 5) = - 3(12) + (-3)(5)

Not correctly used.

Option B.

7(9 - 8) = 7(9) - 8

Correct solution should be

7(9 - 8) = 7(9) - 7(8)

Not correctly used.

Option C.

-2( 15 - 3) = -2(15) + (-2)(3)

It should be -2( 15 - 3) = -2(15) - (-2)(3)

Not correctly used.

Option D.

9(-7 + 6) = 9(-7) + 9(6)

Distributive property correctly used.

Correct Option.