What is expand (2x(10x^2-x^3))/(75) ?

The solution to expand (2x(10x^2-x^3))/(75) is -(2x^4)/(75)+(4x^3)/(15)

Popular >

expand (2x(10x^2-x^3))/(75)

expand

\frac{2 x ( 10 x ^{2} - x ^{3} )}{75}

- \frac{2 x ^{4}}{75} + \frac{4 x ^{3}}{15}

Solution steps

\frac{2 x ( 10 x ^{2} - x ^{3} )}{75}

Expand

2 x (10 x^{2} - x^{3}) : 20 x^{3} - 2 x^{4}

= \frac{20 x ^{3} - 2 x ^{4}}{75}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{20 x ^{3} - 2 x ^{4}}{75} = \frac{20 x ^{3}}{75} - \frac{2 x ^{4}}{75}

= \frac{20 x ^{3}}{75} - \frac{2 x ^{4}}{75}

Cancel

\frac{20 x ^{3}}{75} : \frac{4 x ^{3}}{15}

= \frac{4 x ^{3}}{15} - \frac{2 x ^{4}}{75}

Rewrite in standard form

= - \frac{2 x ^{4}}{75} + \frac{4 x ^{3}}{15}

\frac{b ( - 144 + 16 x ^{2} + 9 y ^{2} ) ^{2}}{20736}

H (- 3.6) U (7, - 4)

\frac{x ^{2} + x - 1}{x ( x ^{2} - 1 )}

(e^{x} - 2) (e^{x} - 3)

s (s + 5) (s + \frac{1}{60})

What is expand (2x(10x^2-x^3))/(75) ?
The solution to expand (2x(10x^2-x^3))/(75) is -(2x^4)/(75)+(4x^3)/(15)