Evaluate
\left(m-n+1\right)\left(m-n+4\right)
Expand
m^{2}-2mn+5m+n^{2}-5n+4
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m^{2}-2mn+n^{2}+5\left(m-n\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-n\right)^{2}.
m^{2}-2mn+n^{2}+5m-5n+4
Use the distributive property to multiply 5 by m-n.
m^{2}-2mn+n^{2}+5\left(m-n\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-n\right)^{2}.
m^{2}-2mn+n^{2}+5m-5n+4
Use the distributive property to multiply 5 by m-n.
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