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\frac{2}{3}x^{4}-\frac{3}{2}x^{2}-\frac{5}{2}x^{4}+4x^{3}+x^{2}
To find the opposite of \frac{5}{2}x^{4}-4x^{3}-x^{2}, find the opposite of each term.
-\frac{11}{6}x^{4}-\frac{3}{2}x^{2}+4x^{3}+x^{2}
Combine \frac{2}{3}x^{4} and -\frac{5}{2}x^{4} to get -\frac{11}{6}x^{4}.
-\frac{11}{6}x^{4}-\frac{1}{2}x^{2}+4x^{3}
Combine -\frac{3}{2}x^{2} and x^{2} to get -\frac{1}{2}x^{2}.
\frac{2}{3}x^{4}-\frac{3}{2}x^{2}-\frac{5}{2}x^{4}+4x^{3}+x^{2}
To find the opposite of \frac{5}{2}x^{4}-4x^{3}-x^{2}, find the opposite of each term.
-\frac{11}{6}x^{4}-\frac{3}{2}x^{2}+4x^{3}+x^{2}
Combine \frac{2}{3}x^{4} and -\frac{5}{2}x^{4} to get -\frac{11}{6}x^{4}.
-\frac{11}{6}x^{4}-\frac{1}{2}x^{2}+4x^{3}
Combine -\frac{3}{2}x^{2} and x^{2} to get -\frac{1}{2}x^{2}.