Find the product $-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2}-y^{2})$.

Given:

$-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2}-y^{2})$.

To do:

We have to find the product.
Solution:
$-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2}-y^{2})=-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2})-\frac{2}{5} x^{2} y^{2}(-y^{2})$ 

$=-(\frac{2\times3}{5\times2})x^{(2+1)} y^{2}+\frac{2}{5} x^{2} y^{(2+2)}$

$=-\frac{3}{5} x^{3} y^{2}+\frac{2}{5} x^{2} y^{4}$