Question

The ____ of ____ property allows you to rewrite . xa· xb as xa + b.

Answer 1

The rule of distributive property allows you to rewrite xa + xb as x (a + b).

So if x = 2, a = 3 and b = 4, xa + xb = x(a + b)
(2 * 3) + (2 * 4) = 2 (3 + 4)
6 + 8 = 14
14 = 14
...and so on. You may try it yourself with different variations.

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Answer 2

The Distributive Property of Multiplication is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
The two terms inside the parentheses cannot be added because they are not like terms. Therefore, a(x+b), the expression inside the parentheses, cannot be simplified any further. To simplify this multiplication, another method will be needed. This is where the Distributive Property comes in.