Expand the expression (-h^2+3/5h)^2

 Exercise

$(-h^2+\frac{3}{5}h)^2$

 

Expand $\left(-h^2+\frac{3}{5}h\right)^2$

$h^{4}-\frac{6}{5}h^2h+\left(\frac{3}{5}h\right)^2$

 

When multiplying exponents with same base you can add the exponents: $-\frac{6}{5}h^2h$

$h^{4}-\frac{6}{5}h^{2+1}+\left(\frac{3}{5}h\right)^2$

 

Add the values $2$ and $1$

$h^{4}-\frac{6}{5}h^{3}+\left(\frac{3}{5}h\right)^2$

 

The power of a product is equal to the product of it's factors raised to the same power

$h^{4}-\frac{6}{5}h^{3}+\left(\frac{3}{5}\right)^2h^2$

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Calculate the power $\left(\frac{3}{5}\right)^2$

$h^{4}-\frac{6}{5}h^{3}+\frac{9}{25}h^2$

$h^{4}-\frac{6}{5}h^{3}+\frac{9}{25}h^2$

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