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4m+5
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4m+5
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4m^{2}+4m+1-4\left(m^{2}-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+1\right)^{2}.
4m^{2}+4m+1-4m^{2}+4
Use the distributive property to multiply -4 by m^{2}-1.
4m+1+4
Combine 4m^{2} and -4m^{2} to get 0.
4m+5
Add 1 and 4 to get 5.
4m^{2}+4m+1-4\left(m^{2}-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+1\right)^{2}.
4m^{2}+4m+1-4m^{2}+4
Use the distributive property to multiply -4 by m^{2}-1.
4m+1+4
Combine 4m^{2} and -4m^{2} to get 0.
4m+5
Add 1 and 4 to get 5.
Examples
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y = 3x + 4
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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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