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-3x+2x^{2}-\left(x+4x^{2}\right)
To find the opposite of 3x-2x^{2}, find the opposite of each term.
-3x+2x^{2}-x-4x^{2}
To find the opposite of x+4x^{2}, find the opposite of each term.
-4x+2x^{2}-4x^{2}
Combine -3x and -x to get -4x.
-4x-2x^{2}
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
-3x+2x^{2}-\left(x+4x^{2}\right)
To find the opposite of 3x-2x^{2}, find the opposite of each term.
-3x+2x^{2}-x-4x^{2}
To find the opposite of x+4x^{2}, find the opposite of each term.
-4x+2x^{2}-4x^{2}
Combine -3x and -x to get -4x.
-4x-2x^{2}
Combine 2x^{2} and -4x^{2} to get -2x^{2}.