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