Which of the following choices best justifies the conclusion based on the given information?

if a(b + c) = d, then ab + ac = d.

a.) associative
b.) commutative
c.) distributive
d.) closure

To abide by the mathematical order of operations in this equation you must distribute "a" into "b" and "c" by multiplying, which is the distributive property. So the answer would be C. Distributive

The best and most correct answer among the choices provided by your question is the third choice or letter C. The answer is distributive property.

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4.

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