Evaluate
6x-8x^{9}
Factor
2x\left(3-4x^{8}\right)
Graph
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4x+2x-x^{9}-7x^{9}
Combine 2x and 2x to get 4x.
6x-x^{9}-7x^{9}
Combine 4x and 2x to get 6x.
6x-8x^{9}
Combine -x^{9} and -7x^{9} to get -8x^{9}.
x\left(-8x^{8}+6\right)
Factor out x.
-8x^{8}+6
Consider 2+2+2-x^{8}-7x^{8}. Multiply and combine like terms.
2\left(-4x^{8}+3\right)
Consider -8x^{8}+6. Factor out 2.
2x\left(-4x^{8}+3\right)
Rewrite the complete factored expression. Polynomial -4x^{8}+3 is not factored since it does not have any rational roots.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}