How many terms are in the expression 4(x + 8) + 5(y + 3) when simplified, and what are the terms?
![How many terms are in the expression 4x 8 5y 3 when simplified and what are the terms class=](https://us-static.z-dn.net/files/d9b/d8892d9eea4c5bc5d6ff1e6123767d1c.png)
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:
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