Expand the expression (5/4x-1/3)^2

 Exercise

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

 

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

$\left(\frac{5}{4}x\right)^2+\frac{5}{2}\cdot \left(-\frac{1}{3}\right)x+\frac{1}{9}$

 

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

$\left(\frac{5}{4}\right)^2x^2+\frac{5}{2}\cdot -\frac{1}{3}x+\frac{1}{9}$

 

Calculate the power $\left(\frac{5}{4}\right)^2$

$\frac{25}{16}x^2+\frac{5}{2}\cdot \left(-\frac{1}{3}\right)x+\frac{1}{9}$

 

Multiplying fractions $\frac{5}{2} \times -\frac{1}{3}$

$\frac{25}{16}x^2-\frac{5}{6}x+\frac{1}{9}$

$\frac{25}{16}x^2-\frac{5}{6}x+\frac{1}{9}$

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