Simplify: (8c^3+c^2d)−(9cd^2−5d^3)+(−3c^2d−8cd^2).

Question

(8c^3+c^2d)−(9cd^2−5d^3)+(−3c^2d−8cd^2).

It's with polynomials being added and subtracted

The numbers next to the ^ are the exponents that are in the equation.

Answer 1

Hi Bailey!

(8c³+c²d)−(9cd²−5d³)+(−3c²d−8cd²)

So first thing you'll want to do is probably distribute the negatives and positives across the parenthesis and get rid of the parenthesis altogether.

8c³+c²d−9cd²+5d³−3c²d−8cd²

So in this one I can only find a few like variables that we can combine: -9cd² and -8cd² = -17cd², and c²d and -3c²d = -2c²d. The rest, it doesn't seem we can combine.

8c³ - 17cd² - 2c²d + 5d³

And that should be about it for this one, there were only 2 variables to combine.

To review the steps:

1) Distribute negatives and positives to get rid of the parenthesis

2) Combine like terms (must have same exponents and same variable!)

3) Check your work and you're all done!

Let me know if you have any questions. Thanks!

Anika