Question

Use the distributive property of multiplication over addition to rewrite the sum as a product of two factors, where one of the factors is a sum.

20^a^2 - 16a - 8

Answer 1

frick no answers

Answer 2

huh and its been 11 years

Answer 3

[AI-generated answer — Explain Bot]

To rewrite the given expression using the distributive property of multiplication over addition, we need to find two factors where one of the factors is a sum.

The distributive property states that for any numbers a, b, and c, the equation a * (b + c) is equal to (a * b) + (a * c).

Let's begin by factoring out the common factor from the first two terms, 20^a^2 and -16a. The common factor is 4a, so we can rewrite those two terms as:

4a * 5^a^2 - 4a * 4

Now let's rewrite the expression as the sum of these two terms and the remaining term, -8:

(4a * 5^a^2 - 4a * 4) - 8

Next, we can apply the distributive property to both terms inside the parentheses:

(4a * 5^a^2) + (4a * -4) - 8

Simplifying further, we have:

20a * 5^a^2 - 16a - 8

Thus, we have rewritten the given sum as a product of two factors, where one of the factors is a sum. The expression is 20a * 5^a^2 - 16a - 8.