Solve the product (2/3x+1/4)(2/3x-2)

 Exercise

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

 

Multiplying polynomials $\frac{2}{3}x-2$ and $\frac{2}{3}x+\frac{1}{4}$

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

 

Multiplying polynomials $\frac{2}{3}x$ and $\frac{2}{3}x-2$

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

 

Multiplying polynomials $\frac{1}{4}$ and $\frac{2}{3}x-2$

$\frac{4}{9}x^2-\frac{4}{3}x+\frac{1}{4}\cdot \frac{2}{3}x-\frac{1}{2}$

 

Multiplying fractions $\frac{1}{4} \times \frac{2}{3}$

$\frac{4}{9}x^2-\frac{4}{3}x+\frac{1}{6}x-\frac{1}{2}$

$\frac{4}{9}x^2-\frac{4}{3}x+\frac{1}{6}x-\frac{1}{2}$

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