Evaluate
x^{2}\left(10x^{2}-5x-13\right)
Factor
10\left(x-\left(-\frac{\sqrt{545}}{20}+\frac{1}{4}\right)\right)\left(x-\left(\frac{\sqrt{545}}{20}+\frac{1}{4}\right)\right)x^{2}
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10x^{4}-5x^{3}-10x^{2}-3xx
Divide 15x by -5 to get -3x.
10x^{4}-5x^{3}-10x^{2}-3x^{2}
Multiply x and x to get x^{2}.
10x^{4}-5x^{3}-13x^{2}
Combine -10x^{2} and -3x^{2} to get -13x^{2}.
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}