Question

How many terms are in the expression 4(x + 8) + 5(y + 3) when simplified, and what are the terms?

Answer 1

Answer:

B

Step-by-step explanation:

Let's simplify by expanding the parentheses. When expanding parentheses, the result is essentially the sum of the product of the "outside number" with each of the "inside numbers".

In 4(x + 8), the outside number is 4 and the inside terms are x and 8, so we have:

4(x + 8) = 4 * x + 4 * 8 = 4x + 32

In 5(y + 3), the outside number is 5 and the inside terms are y and 3, so we have:

5(y + 3) = 5 * y + 5 * 3 = 5y + 15

We now have:

4x + 32 + 5y + 15

Combine like terms:

4x + 5y + 32 + 15

4x + 5y + 47

We are left with three terms, so B is the answer.

Answer 2

Answer:

There are 3 terms left

4x, 5y ,47

Step-by-step explanation:

4(x + 8) + 5(y + 3)

Distribute

4x+32+ 5y+15

Combine like terms

4x+5y + 32+15

4x+5y +47

There are 3 terms left

4x, 5y ,47