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Popular >

expand ((2x-1)^3)/x

Solution

expand

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

Solution

8 x^{2} - 12 x + 6 - \frac{1}{x}

Solution steps

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

(2 x - 1)^{3} = 8 x^{3} - 12 x^{2} + 6 x - 1

= \frac{8 x ^{3} - 12 x ^{2} + 6 x - 1}{x}

Apply the fraction rule:

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

\frac{8 x ^{3} - 12 x ^{2} + 6 x - 1}{x} = \frac{8 x ^{3}}{x} - \frac{12 x ^{2}}{x} + \frac{6 x}{x} - \frac{1}{x}

= \frac{8 x ^{3}}{x} - \frac{12 x ^{2}}{x} + \frac{6 x}{x} - \frac{1}{x}

Cancel

\frac{8 x ^{3}}{x} : 8 x^{2}

= 8 x^{2} - \frac{12 x ^{2}}{x} + \frac{6 x}{x} - \frac{1}{x}

Cancel

\frac{12 x ^{2}}{x} : 12 x

= 8 x^{2} - 12 x + \frac{6 x}{x} - \frac{1}{x}

Cancel

\frac{6 x}{x} : 6

= 8 x^{2} - 12 x + 6 - \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is expand ((2x-1)^3)/x ?
The solution to expand ((2x-1)^3)/x is 8x^2-12x+6-1/x