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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