Evaluate
\frac{5x^{8}}{3}-x^{6}-\frac{5x^{2}}{3}+1
Expand
\frac{5x^{8}}{3}-x^{6}-\frac{5x^{2}}{3}+1
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\frac{x\left(5x^{2}-3\right)}{3x}\left(x^{6}-1\right)
Factor the expressions that are not already factored in \frac{5x^{3}-3x}{3x}.
\frac{5x^{2}-3}{3}\left(x^{6}-1\right)
Cancel out x in both numerator and denominator.
\frac{\left(5x^{2}-3\right)\left(x^{6}-1\right)}{3}
Express \frac{5x^{2}-3}{3}\left(x^{6}-1\right) as a single fraction.
\frac{5x^{8}-5x^{2}-3x^{6}+3}{3}
Use the distributive property to multiply 5x^{2}-3 by x^{6}-1.
\frac{x\left(5x^{2}-3\right)}{3x}\left(x^{6}-1\right)
Factor the expressions that are not already factored in \frac{5x^{3}-3x}{3x}.
\frac{5x^{2}-3}{3}\left(x^{6}-1\right)
Cancel out x in both numerator and denominator.
\frac{\left(5x^{2}-3\right)\left(x^{6}-1\right)}{3}
Express \frac{5x^{2}-3}{3}\left(x^{6}-1\right) as a single fraction.
\frac{5x^{8}-5x^{2}-3x^{6}+3}{3}
Use the distributive property to multiply 5x^{2}-3 by x^{6}-1.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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