perform the indicated operation

Question

9-2x²+6)-(x²-x)

Answer 1

This problem is quite simple, but you have to be careful of the double negative signs.

 

We start with (9-2x²+6)-(x²-x)

 

Following order of operations we should evaluate what is inside the parentheses first. There isn't much we can do in this step but it does simplify a little bit. We can add the 6 and 9 together giving:

 

(15-2x²)-(x²-x)

 

Subtraction with parentheses can be a little confusing so we are going to rewrite this as:

 

(15-2x²)+(-1)*(x²-x)

 

This is the same equation, but we've changed the minus sign into a -1. We then use the distributive property to get:

 

(15-2x²)+(-x²+x)

 

Now that the pesky minus sign is out of the way and we've done everything possible inside the parentheses we can take them out:

 

15-2x²⁺(-x²)+x

 

Grouping by like terms we get:

 

-2x²-x²+x+15

 

Which after being fully simplified gives:

 

-3x²+x+15

 

This was a pretty in-depth look into the problem so I hope it didn't make things more confusing. If you have any questions just leave a comment.

 

Good luck!