$$( \frac { 1 } { 4 } m+ \frac { 2 } { 5 } n) ( \frac { 1 } { 4 } m- \frac { 2 } { 5 } n)$$
$\frac{m^{2}}{16}-\frac{4n^{2}}{25}$
$$\left(\frac{1}{4}m\right)^{2}-\left(\frac{2}{5}n\right)^{2}$$
$$\left(\frac{1}{4}\right)^{2}m^{2}-\left(\frac{2}{5}n\right)^{2}$$
$$\frac{1}{16}m^{2}-\left(\frac{2}{5}n\right)^{2}$$
$$\frac{1}{16}m^{2}-\left(\frac{2}{5}\right)^{2}n^{2}$$
$$\frac{1}{16}m^{2}-\frac{4}{25}n^{2}$$
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