Question

simplify
-4x^2-3x-(x-x^2+3)

Answer 1

\[-4x^2 - 3x - (x-x^2 + 3)\]

Answer 2

-3x^2-4x-3

Answer 3

-3x^2-4x-3

Answer 4

one way to start is to apply the "-" to the items in the parantheses

Answer 5

-3x^2 -4x-3

Answer 6

http://www.wolframalpha.com/input/?i=-4x^2-3x-%28x-x^2%2B3%29

Answer 7

so you have \[-4x^2 - 3x - (x-x^2 + 3)\] = \[-4x^2 - 3x + -(x-x^2 + 3)\] = \[-4x^2 - 3x + (-x) + x^2 -3\]

Answer 8

so now group like terms, x^2, x and constants

Answer 9

\[-4x^2 + x^2 - 3x -x -3\]

Answer 10

combine like terms

Answer 11

\[-4x^2 + x^2 - 3x -x -3\] = \[(-4x^2 + x^2) + (-3x -x) -3\] =
\[-3x^2 -4x - 3\]

Answer 12

there you have it