Expand the expression (1/2x-3/5y)^2

 Exercise

$\left(\frac{1}{2}x-\frac{3}{5}y\right)^2$

 

Expand $\left(\frac{1}{2}x-\frac{3}{5}y\right)^2$

$\left(\frac{1}{2}x\right)^2+\left(-\frac{3}{5}\right)xy+\left(-\frac{3}{5}y\right)^2$

 

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

$\left(\frac{1}{2}\right)^2x^2-\frac{3}{5}xy+\left(-\frac{3}{5}y\right)^2$

 

Calculate the power $\left(\frac{1}{2}\right)^2$

$\frac{1}{4}x^2+\left(-\frac{3}{5}\right)xy+\left(-\frac{3}{5}y\right)^2$

$\frac{1}{4}x^2+\left(-\frac{3}{5}\right)xy+\left(-\frac{3}{5}y\right)^2$

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