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Answer

↓Steps Explained:↓

Given a = 3, b = 5, and c = 6:

Prove the Distributive Property

Distributive Property Definition:

a(b + c) = a(b) + a(c)

We read this three ways:

1. The sum of a and b times c
2. a times b plus c
3. The product of a times b plus c

Plug in a = 3, b = 5, c = 6:

3(5 + 6) = 3(5) + 3(6)

We read this two ways:

1. 5 and 6 times 3
2. 3 times 5 plus 6

Simplifying, we get:

3(11) = 15 + 18