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

 Exercise

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

 

Multiplying polynomials $3x^2-\frac{5}{4}$ and $x^2-\frac{4}{5}$

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

 

Multiplying polynomials $x^2$ and $3x^2-\frac{5}{4}$

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

 

Multiplying polynomials $-\frac{4}{5}$ and $3x^2-\frac{5}{4}$

$3x^{4}+\left(-\frac{5}{4}\right)x^2-\frac{12}{5}x^2-\frac{4}{5}\cdot \left(-\frac{5}{4}\right)$

 

Multiplying fractions $-\frac{4}{5} \times -\frac{5}{4}$

$3x^{4}-\frac{5}{4}x^2-\frac{12}{5}x^2+1$

$3x^{4}-\frac{5}{4}x^2-\frac{12}{5}x^2+1$

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