Evaluate
7+7m+4m^{2}-4x
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7+7m+4m^{2}-4x
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4m^{2}+8m+4-4\times 1x-\left(m-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+2\right)^{2}.
4m^{2}+8m+4-4x-\left(m-3\right)
Multiply 4 and 1 to get 4.
4m^{2}+8m+4-4x-m+3
To find the opposite of m-3, find the opposite of each term.
4m^{2}+7m+4-4x+3
Combine 8m and -m to get 7m.
4m^{2}+7m+7-4x
Add 4 and 3 to get 7.
4m^{2}+8m+4-4\times 1x-\left(m-3\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+2\right)^{2}.
4m^{2}+8m+4-4x-\left(m-3\right)
Multiply 4 and 1 to get 4.
4m^{2}+8m+4-4x-m+3
To find the opposite of m-3, find the opposite of each term.
4m^{2}+7m+4-4x+3
Combine 8m and -m to get 7m.
4m^{2}+7m+7-4x
Add 4 and 3 to get 7.
Examples
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Matrix
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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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