## carlenstar281 2 years ago Math question help me!!!

1. carlenstar281

(x^2-3x+1)- (x^2+2x+7) Answer = -5x-6 How i don't understand this ?

2. camoJAX

distribute the - sign through the (x^2+2x+7) and the x^2's will cancel. then go from there

3. skullpatrol

Do you understand now? @carlenstar281

4. carlenstar281

yes sorta why do I have to distribute the minus sign

5. skullpatrol

Because the opposite of a sum is the sum of the opposites.

6. skullpatrol

\$\$-(a+b)=(-a)+(-b)\$\$

7. carlenstar281

oh I got it now thanks :)

8. skullpatrol

And now you can use \$\$a+b=b+a\$\$ to move the terms around.

9. camoJAX

think of an imaginary -1 right there where the - sign it. \[(x^2-3x+1) - (x^2+2x+7)\] \[(x^2-3x+1) + (-x^2-2x-7)\]

10. camoJAX

\[x^2+-x^2=0\] they are like terms kinda like 1+-1=0

11. camoJAX

or you dont have to distribute it out either way they will cancel

12. skullpatrol

13. camoJAX

hahaha gotcha

14. skullpatrol

Thanks

15. skullpatrol

@carlenstar281 Do you want a more detailed explanation?