Answer:
[tex]\frac{9}{100}x^2-\frac{4}{25}=(\frac{3}{10}x-\frac{2}{5})(\frac{3}{10}x+\frac{2}{5})[/tex]Explanation:
Given the expression:
[tex]\frac{9}{100}x^2-\frac{4}{25}[/tex]This can be written as a difference of two squares. But before that, we can rewrite the expression as:
[tex](\frac{3}{10}x)^2-(\frac{2}{5})^2[/tex]So, as a different of two squares, we write:
[tex](\frac{3}{10}x-\frac{2}{5})(\frac{3}{10}x+\frac{2}{5})[/tex]