Evaluate
\left(5-m\right)\left(m-2\right)
Expand
-m^{2}+7m-10
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5m-10-m\left(m-2\right)
Use the distributive property to multiply 5 by m-2.
5m-10-\left(m^{2}-2m\right)
Use the distributive property to multiply m by m-2.
5m-10-m^{2}-\left(-2m\right)
To find the opposite of m^{2}-2m, find the opposite of each term.
5m-10-m^{2}+2m
The opposite of -2m is 2m.
7m-10-m^{2}
Combine 5m and 2m to get 7m.
5m-10-m\left(m-2\right)
Use the distributive property to multiply 5 by m-2.
5m-10-\left(m^{2}-2m\right)
Use the distributive property to multiply m by m-2.
5m-10-m^{2}-\left(-2m\right)
To find the opposite of m^{2}-2m, find the opposite of each term.
5m-10-m^{2}+2m
The opposite of -2m is 2m.
7m-10-m^{2}
Combine 5m and 2m to get 7m.
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y = 3x + 4
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\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
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