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m^{3}+2m^{2}+2m+1+\left(m^{2}-m-1\right)\left(m-1\right)-2m\left(m^{2}+1\right)
Use the distributive property to multiply m^{2}+m+1 by m+1 and combine like terms.
m^{3}+2m^{2}+2m+1+m^{3}-2m^{2}+1-2m\left(m^{2}+1\right)
Use the distributive property to multiply m^{2}-m-1 by m-1 and combine like terms.
2m^{3}+2m^{2}+2m+1-2m^{2}+1-2m\left(m^{2}+1\right)
Combine m^{3} and m^{3} to get 2m^{3}.
2m^{3}+2m+1+1-2m\left(m^{2}+1\right)
Combine 2m^{2} and -2m^{2} to get 0.
2m^{3}+2m+2-2m\left(m^{2}+1\right)
Add 1 and 1 to get 2.
2m^{3}+2m+2-2m^{3}-2m
Use the distributive property to multiply -2m by m^{2}+1.
2m+2-2m
Combine 2m^{3} and -2m^{3} to get 0.
2
Combine 2m and -2m to get 0.
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}