Evaluate
\frac{5\left(m-4\right)^{2}}{4}
Expand
\frac{5m^{2}}{4}-10m+20
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m^{2}-8m+16+\left(\frac{1}{2}m-2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-4\right)^{2}.
m^{2}-8m+16+\frac{1}{4}m^{2}-2m+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}m-2\right)^{2}.
\frac{5}{4}m^{2}-8m+16-2m+4
Combine m^{2} and \frac{1}{4}m^{2} to get \frac{5}{4}m^{2}.
\frac{5}{4}m^{2}-10m+16+4
Combine -8m and -2m to get -10m.
\frac{5}{4}m^{2}-10m+20
Add 16 and 4 to get 20.
m^{2}-8m+16+\left(\frac{1}{2}m-2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(m-4\right)^{2}.
m^{2}-8m+16+\frac{1}{4}m^{2}-2m+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{2}m-2\right)^{2}.
\frac{5}{4}m^{2}-8m+16-2m+4
Combine m^{2} and \frac{1}{4}m^{2} to get \frac{5}{4}m^{2}.
\frac{5}{4}m^{2}-10m+16+4
Combine -8m and -2m to get -10m.
\frac{5}{4}m^{2}-10m+20
Add 16 and 4 to get 20.
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Limits
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