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-2x^{3}+8x-3-\left(x^{3}-2x^{2}\right)
Combine 3x and 5x to get 8x.
-2x^{3}+8x-3-x^{3}+2x^{2}
To find the opposite of x^{3}-2x^{2}, find the opposite of each term.
-3x^{3}+8x-3+2x^{2}
Combine -2x^{3} and -x^{3} to get -3x^{3}.
-2x^{3}+8x-3-\left(x^{3}-2x^{2}\right)
Combine 3x and 5x to get 8x.
-2x^{3}+8x-3-x^{3}+2x^{2}
To find the opposite of x^{3}-2x^{2}, find the opposite of each term.
-3x^{3}+8x-3+2x^{2}
Combine -2x^{3} and -x^{3} to get -3x^{3}.