Question

Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.
(8x2 + 5) − (3x2 − x + 7)

Answer 1

To simplify the expression (8x2 + 5) − (3x2 − x + 7):
First, we look at the first term of the first polynomial and find if there are like terms with the other polynomial. In this case, we have 8x2 and 3x2, when subtracted would give us 5x2.

Answer 2

I looked this up for you if that's alright.

Answer 3

Second, we look at the next power of x. Only the second polynomial has an x with power 1. Thus, we have x (since negative of negative x provides a positive x).
Third, we subtract the numerical constants for both polynomials, 5 - 7, yielding -2.
Finally, we combine the results for each step: 5x2 + x - 2

Answer 4

thanks that actually helped a lot!

Answer 5

Icewinifredd is correct and the answwer is correct, but in order to avoid erros with the negative sign outside the parentheses, I think it's better to distribute it first. Then you combine like terms.
Step 1: Drop the first set of parentheses, and distribute the negative outside the parentheses:
(8x2 + 5) − (3x2 − x + 7)
8x^2 + 5 - 3x^2 + x - 7
Step 2: Combine like terms:
8x^2 - 3x^2 + x + 5 - 7
5x^2 + x - 2

Answer 6

ok i see thanks for the help!

Answer 7

you're welcome