Question

Simplify by combining like terms: 7p + 8p^2 + 3 + 2 - 4p

A) -4p + 5 + 8p^2 + 7p
B) 11p + 8p^2 + 7p
C) -8p^2 - 3p + 5
D) 8p^2 + 3p + 5
E) 15p^2 - 4p + 5

Answer 1

D) 8p^2 + 3p + 5. To simplify the expression 7p + 8p^2 + 3 + 2 - 4p, combine like terms to get 8p^2 + 3p + 5.

Step-by-step explanation:

To simplify the expression 7p + 8p^2 + 3 + 2 - 4p, we can combine like terms. Like terms are terms that have the same variable and exponent.

In this expression, the like terms are 7p and -4p. We can combine them to get 7p - 4p = 3p. So, the simplified expression becomes 3p + 8p^2 + 3 + 2.

We cannot combine any other terms, so the final simplified expression is 8p^2 + 3p + 5.