Answer
$x^{2}-\frac{1}{5}x-\frac{2}{25}$
Work Step by Step
Using the FOIL method, $(x-\frac{2}{5})(x+\frac{1}{5})=(x)(x)+(x)(\frac{1}{5})+(-\frac{2}{5})(x)+(-\frac{2}{5})(\frac{1}{5})=x^{2}+\frac{1}{5}x+(-\frac{2}{5}x)+(-\frac{2}{25})=x^{2}+\frac{1}{5}x-\frac{2}{5}x-\frac{2}{25}=x^{2}+(\frac{1}{5}-\frac{2}{5})x-\frac{2}{25}=x^{2}-\frac{1}{5}x-\frac{2}{25}$.
