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:
$-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2}-y^{2})=-\frac{2}{5} x^{2} y^{2}(\frac{3 x}{2})-\frac{2}{5} x^{2} y^{2}(-y^{2})$
$=-(\frac{2\times3}{5\times2})x^{(2+1)} y^{2}+\frac{2}{5} x^{2} y^{(2+2)}$
$=-\frac{3}{5} x^{3} y^{2}+\frac{2}{5} x^{2} y^{4}$
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