Solve the product (7/5a-5/2)(7/5a-5/2)

 Exercise

$\left(\frac{7}{5}a-\frac{5}{2}\right)\left(\frac{7}{5}a-+\frac{5}{2}\right)$

 

When multiplying two powers that have the same base ($\frac{7}{5}a-\frac{5}{2}$), you can add the exponents

$\left(\frac{7}{5}a-\frac{5}{2}\right)^2$

 

Expand $\left(\frac{7}{5}a-\frac{5}{2}\right)^2$

$\left(\frac{7}{5}a\right)^2+\frac{14}{5}\cdot -\frac{5}{2}a+\frac{25}{4}$

 

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

$\frac{49}{25}a^2+\frac{14}{5}\cdot \left(-\frac{5}{2}\right)a+\frac{25}{4}$

 

Multiplying fractions $\frac{14}{5} \times -\frac{5}{2}$

$\frac{49}{25}a^2-7a+\frac{25}{4}$

$\frac{49}{25}a^2-7a+\frac{25}{4}$

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