Evaluate
m\left(3n-m\right)
Expand
3mn-m^{2}
Share
Copied to clipboard
m\left(-n\right)+3m^{2}+4\left(-m^{2}+mn\right)
Use the distributive property to multiply m by -n+3m.
m\left(-n\right)+3m^{2}+4\left(-m^{2}\right)+4mn
Use the distributive property to multiply 4 by -m^{2}+mn.
m\left(-1\right)n+3m^{2}-4m^{2}+4mn
Multiply 4 and -1 to get -4.
m\left(-1\right)n-m^{2}+4mn
Combine 3m^{2} and -4m^{2} to get -m^{2}.
3mn-m^{2}
Combine m\left(-1\right)n and 4mn to get 3mn.
m\left(-n\right)+3m^{2}+4\left(-m^{2}+mn\right)
Use the distributive property to multiply m by -n+3m.
m\left(-n\right)+3m^{2}+4\left(-m^{2}\right)+4mn
Use the distributive property to multiply 4 by -m^{2}+mn.
m\left(-1\right)n+3m^{2}-4m^{2}+4mn
Multiply 4 and -1 to get -4.
m\left(-1\right)n-m^{2}+4mn
Combine 3m^{2} and -4m^{2} to get -m^{2}.
3mn-m^{2}
Combine m\left(-1\right)n and 4mn to get 3mn.
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}