Evaluate
m^{2}\left(m^{2}-5m+1\right)
Factor
\left(m-\frac{5-\sqrt{21}}{2}\right)\left(m-\frac{\sqrt{21}+5}{2}\right)m^{2}
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-7m^{3}-6m^{2}+m^{4}+2m^{3}+7m^{2}
Combine -3m^{4} and 4m^{4} to get m^{4}.
-5m^{3}-6m^{2}+m^{4}+7m^{2}
Combine -7m^{3} and 2m^{3} to get -5m^{3}.
-5m^{3}+m^{2}+m^{4}
Combine -6m^{2} and 7m^{2} to get m^{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}