Evaluate
\frac{19x^{21}-15x^{17}-19x^{8}+960x^{3}-7}{x^{2}-1}
Expand
\frac{19x^{21}-15x^{17}-19x^{8}+960x^{3}-7}{x^{2}-1}
Graph
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\frac{19\left(x^{21}-x^{8}+2\right)-15\left(x^{17}-4^{3}x^{3}+3\right)}{x^{2}-1}
Expand \left(4x\right)^{3}.
\frac{19\left(x^{21}-x^{8}+2\right)-15\left(x^{17}-64x^{3}+3\right)}{x^{2}-1}
Calculate 4 to the power of 3 and get 64.
\frac{19x^{21}-19x^{8}+38-15\left(x^{17}-64x^{3}+3\right)}{x^{2}-1}
Use the distributive property to multiply 19 by x^{21}-x^{8}+2.
\frac{19x^{21}-19x^{8}+38-15x^{17}+960x^{3}-45}{x^{2}-1}
Use the distributive property to multiply -15 by x^{17}-64x^{3}+3.
\frac{19x^{21}-19x^{8}-7-15x^{17}+960x^{3}}{x^{2}-1}
Subtract 45 from 38 to get -7.
\frac{19\left(x^{21}-x^{8}+2\right)-15\left(x^{17}-4^{3}x^{3}+3\right)}{x^{2}-1}
Expand \left(4x\right)^{3}.
\frac{19\left(x^{21}-x^{8}+2\right)-15\left(x^{17}-64x^{3}+3\right)}{x^{2}-1}
Calculate 4 to the power of 3 and get 64.
\frac{19x^{21}-19x^{8}+38-15\left(x^{17}-64x^{3}+3\right)}{x^{2}-1}
Use the distributive property to multiply 19 by x^{21}-x^{8}+2.
\frac{19x^{21}-19x^{8}+38-15x^{17}+960x^{3}-45}{x^{2}-1}
Use the distributive property to multiply -15 by x^{17}-64x^{3}+3.
\frac{19x^{21}-19x^{8}-7-15x^{17}+960x^{3}}{x^{2}-1}
Subtract 45 from 38 to get -7.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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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