Expand the expression (3x^3+1/2)-3x^21/2

 Exercise

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

 

Multiply the fraction and term in $-3\cdot \frac{1}{2}\left(3x^3+\frac{1}{2}\right)x^2$

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

 

Solve the product $\left(-\frac{3}{2}\right)\left(3x^3+\frac{1}{2}\right)x^2$

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

 

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

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

 

Expand the expression $\left(-\frac{9}{2}x^3-\frac{3}{4}\right)x^2$ completely and simplify

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

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

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