What is expand (4x(14x^2-x^3))/(147) ?

The solution to expand (4x(14x^2-x^3))/(147) is -(4x^4)/(147)+(8x^3)/(21)

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expand (4x(14x^2-x^3))/(147)

expand

\frac{4 x ( 14 x ^{2} - x ^{3} )}{147}

- \frac{4 x ^{4}}{147} + \frac{8 x ^{3}}{21}

Solution steps

\frac{4 x ( 14 x ^{2} - x ^{3} )}{147}

Expand

4 x (14 x^{2} - x^{3}) : 56 x^{3} - 4 x^{4}

= \frac{56 x ^{3} - 4 x ^{4}}{147}

Apply the fraction rule:

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

\frac{56 x ^{3} - 4 x ^{4}}{147} = \frac{56 x ^{3}}{147} - \frac{4 x ^{4}}{147}

= \frac{56 x ^{3}}{147} - \frac{4 x ^{4}}{147}

Cancel

\frac{56 x ^{3}}{147} : \frac{8 x ^{3}}{21}

= \frac{8 x ^{3}}{21} - \frac{4 x ^{4}}{147}

Rewrite in standard form

= - \frac{4 x ^{4}}{147} + \frac{8 x ^{3}}{21}

\frac{( x - 1 ) ( x + 5 )}{x - 5}

\frac{( x - y ) ^{3}}{x + y}

\frac{( x - 6 ) n ^{n}}{( n + 1 ) ^{n + 1}}

\frac{4 x ^{2} + 3}{( x - 1 ) ( x ^{2} + x + 5 )}

e^{2 x} (0.75 x - 1) + 0.75 x + 1

What is expand (4x(14x^2-x^3))/(147) ?
The solution to expand (4x(14x^2-x^3))/(147) is -(4x^4)/(147)+(8x^3)/(21)