Evaluate
-\frac{7x^{5}}{6}-\frac{35x^{4}}{76}+\frac{211x^{3}}{82}
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-\frac{7x^{5}}{6}-\frac{35x^{4}}{76}+\frac{211x^{3}}{82}
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\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}
To find the opposite of \frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}, find the opposite of each term.
-\frac{7}{6}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}
Combine \frac{1}{2}x^{5} and -\frac{5}{3}x^{5} to get -\frac{7}{6}x^{5}.
-\frac{7}{6}x^{5}-\frac{35}{76}x^{4}+\frac{3}{41}x^{3}+\frac{5}{2}x^{3}
Combine -\frac{8}{19}x^{4} and -\frac{3}{76}x^{4} to get -\frac{35}{76}x^{4}.
-\frac{7}{6}x^{5}-\frac{35}{76}x^{4}+\frac{211}{82}x^{3}
Combine \frac{3}{41}x^{3} and \frac{5}{2}x^{3} to get \frac{211}{82}x^{3}.
\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\left(\frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}\right)
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{2}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\frac{5}{3}x^{5}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}
To find the opposite of \frac{5}{3}x^{5}+\frac{3}{76}x^{4}-\frac{5}{2}x^{3}, find the opposite of each term.
-\frac{7}{6}x^{5}-\frac{8}{19}x^{4}+\frac{3}{41}x^{3}-\frac{3}{76}x^{4}+\frac{5}{2}x^{3}
Combine \frac{1}{2}x^{5} and -\frac{5}{3}x^{5} to get -\frac{7}{6}x^{5}.
-\frac{7}{6}x^{5}-\frac{35}{76}x^{4}+\frac{3}{41}x^{3}+\frac{5}{2}x^{3}
Combine -\frac{8}{19}x^{4} and -\frac{3}{76}x^{4} to get -\frac{35}{76}x^{4}.
-\frac{7}{6}x^{5}-\frac{35}{76}x^{4}+\frac{211}{82}x^{3}
Combine \frac{3}{41}x^{3} and \frac{5}{2}x^{3} to get \frac{211}{82}x^{3}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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