Evaluate
m^{2}+2m+5
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m^{2}+2m+5
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m^{2}+4m+4-\left(2m-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+2\right)^{2}.
m^{2}+4m+4-2m+1
To find the opposite of 2m-1, find the opposite of each term.
m^{2}+2m+4+1
Combine 4m and -2m to get 2m.
m^{2}+2m+5
Add 4 and 1 to get 5.
m^{2}+4m+4-\left(2m-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+2\right)^{2}.
m^{2}+4m+4-2m+1
To find the opposite of 2m-1, find the opposite of each term.
m^{2}+2m+4+1
Combine 4m and -2m to get 2m.
m^{2}+2m+5
Add 4 and 1 to get 5.
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