What is expand (2(2x^3-6750))/(x^2) ?

The solution to expand (2(2x^3-6750))/(x^2) is 4x-(13500)/(x^2)

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expand (2(2x^3-6750))/(x^2)

expand

\frac{2 ( 2 x ^{3} - 6750 )}{x ^{2}}

4 x - \frac{13500}{x ^{2}}

Solution steps

\frac{2 ( 2 x ^{3} - 6750 )}{x ^{2}}

Expand

2 (2 x^{3} - 6750) : 4 x^{3} - 13500

= \frac{4 x ^{3} - 13500}{x ^{2}}

Apply the fraction rule:

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

\frac{4 x ^{3} - 13500}{x ^{2}} = \frac{4 x ^{3}}{x ^{2}} - \frac{13500}{x ^{2}}

= \frac{4 x ^{3}}{x ^{2}} - \frac{13500}{x ^{2}}

Cancel

\frac{4 x ^{3}}{x ^{2}} : 4 x

= 4 x - \frac{13500}{x ^{2}}

2 π r h (r - h)

5 (3 x - 2 = - \frac{7}{- 5})

4 \cdot ((3 x - 2) \cdot (2 x + 6))

x + (y - x) e^{- k t}

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

What is expand (2(2x^3-6750))/(x^2) ?
The solution to expand (2(2x^3-6750))/(x^2) is 4x-(13500)/(x^2)