Question

Which of the following statements correctly uses the distributive property?

Answer 1

Answer:

d)  9(-7+6) = 9(-7) + 9(6)  is the correct use of Distributive Property.

Step-by-step explanation:

Distributive Property states that form any three expressions A, B and C

1.   A( B -C)  = AB - AC

2.  A (B + C ) = AB + AC

Now, here

a)  0-3(12+5)= -3(12) - (-3)(5)

Solving Left side by distributive property, we get

0-3(12+5)  = -3(12) + (-3)(5)  

and -3(12) + (-3)(5)   ≠  Right Side      -3(12) - (-3)(5)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

b)  7(19 - 8) = 7(19) - 8

Solving Left side by distributive property, we get

7(19 - 8) = 7(19) - 7(8)  

and 7(19) - 7(8)    ≠  Right Side      7(19) - 8

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

c)  -2(15 - 3) = -2(15) + (-2)(3)

Solving Left side by distributive property, we get

-2(15 - 3) =   -2(15) - (-2)(3)

and -2(15) - (-2)(3)   ≠  Right Side     -2(15) + (-2)(3)

⇒NO CORRECT USE OF DISTRIBUTIVE PROPERTY

d)  9(-7+6) = 9(-7) + 9(6)

Solving Left side by distributive property, we get

9(-7+6) =   9(-7) +  9(6)

and  9(-7) +  9(6)  = Right Side 9(-7) + 9(6)

⇒ CORRECT USE OF DISTRIBUTIVE PROPERTY