What is expand (7x(16x^2-x^3))/(24) ?

The solution to expand (7x(16x^2-x^3))/(24) is -(7x^4}{24}+\frac{14x^3)/3

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expand (7x(16x^2-x^3))/(24)

expand

\frac{7 x ( 16 x ^{2} - x ^{3} )}{24}

- \frac{7 x ^{4}}{24} + \frac{14 x ^{3}}{3}

Solution steps

\frac{7 x ( 16 x ^{2} - x ^{3} )}{24}

Expand

7 x (16 x^{2} - x^{3}) : 112 x^{3} - 7 x^{4}

= \frac{112 x ^{3} - 7 x ^{4}}{24}

Apply the fraction rule:

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

\frac{112 x ^{3} - 7 x ^{4}}{24} = \frac{112 x ^{3}}{24} - \frac{7 x ^{4}}{24}

= \frac{112 x ^{3}}{24} - \frac{7 x ^{4}}{24}

Cancel

\frac{112 x ^{3}}{24} : \frac{14 x ^{3}}{3}

= \frac{14 x ^{3}}{3} - \frac{7 x ^{4}}{24}

Rewrite in standard form

= - \frac{7 x ^{4}}{24} + \frac{14 x ^{3}}{3}

(1 - cos^{2} (x))^{4}

15 x yz (\frac{x ^{2} y z ^{3}}{3} + x^{4} y^{4} z - \frac{5 x}{3 z ^{3}})

\frac{1}{2} (1 - cos (x))

(5 x + 2 y = 8,) (2 x - 4 y = - 8)

(e^{x} - e^{- x})^{4}

What is expand (7x(16x^2-x^3))/(24) ?
The solution to expand (7x(16x^2-x^3))/(24) is -(7x^4}{24}+\frac{14x^3)/3