Question

(9x - 4x2 + 9) + (-x3 + 4x2 - 3)

Answer 1

-
`x^(3\\)` + 9x + 6

Explanation:

First, you need to combine like terms. Like terms, when dealing with exponents can be categorized by their powers.

hIn this case, 9x stands alone, because there is no other coefficient with the power of just x.

9x

Next, we can look at the -4x^2. The other similar coefficient is + 4x^2. We can combine both of those, which will equal out to 0.

Next, you have 9. It can be combined with -3, since none of them have an exponent attached. It will equal 6

9x + 6

We also have a -x^3 left over. There is no like term to combine with it, so we can leave it as is.

Our problem now looks like

9x + 6 -
`x^(3)`

You can rearrange them in the proper order, so it will look like,

-
`x^(3)` + 9x + 6.

And there you have it!

Answer 2

The solution to the given expression is -x³ + 9x + 6

Explanation:

(9x - 4x² + 9) + (-x³ + 4x² - 3)

Since there is a positive sign in front of the second parentheses, then the terms inside will stay the same.

9x - 4x² + 9 - x³ + 4x² - 3

Group terms together that are alike. Also known as like terms.

-x³ + (-4x² + 4x²) + 9x + (9 - 3)'

Combine like terms.

-x³ + 9x + 6