(-2x²+3)-(x²-4)+(x+5)

Question

I'm not sure how to simplify this.

Answer 1

Lets start by opening up the parentheses. The first and third parentheses can be opened without any alteration to the terms inside. The second though has a negative sign outside of it. This means that the whole parenthese is being multiplied by -1. Because of this we need to distribute the negative to each term inside resulting in

-1(x²-4)=-1x²+4. Our end result from these operations is

-2x²+3-x²+4+x+5.

From here all we need to do is combine the like terms, so group the x² terms together, the x's together and the constants. From this we get

-2x²-x²+x+3+4+5. And now we combine them to get

-3x²+x+12. And that's out answer. =]

Hope this helped. 

Answer 2

Hello Hannah,

First, you need to open the brackets and distribute the sign outside the brackets.

-2x² + 3 - x² + 4 + x + 5

Then combine like terms

-2x² - x² + 3 + 4 + 5 + x

-3x² + x + 12 (answer)

Hope this helps