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Popular >

expand ((x-4)^3)/x

Solution

expand

\frac{( x - 4 ) ^{3}}{x}

Solution

x^{2} - 12 x + 48 - \frac{64}{x}

Solution steps

\frac{( x - 4 ) ^{3}}{x}

(x - 4)^{3} = x^{3} - 12 x^{2} + 48 x - 64

= \frac{x ^{3} - 12 x ^{2} + 48 x - 64}{x}

Apply the fraction rule:

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

\frac{x ^{3} - 12 x ^{2} + 48 x - 64}{x} = \frac{x ^{3}}{x} - \frac{12 x ^{2}}{x} + \frac{48 x}{x} - \frac{64}{x}

= \frac{x ^{3}}{x} - \frac{12 x ^{2}}{x} + \frac{48 x}{x} - \frac{64}{x}

Cancel

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

= x^{2} - \frac{12 x ^{2}}{x} + \frac{48 x}{x} - \frac{64}{x}

Cancel

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

= x^{2} - 12 x + \frac{48 x}{x} - \frac{64}{x}

Cancel

\frac{48 x}{x} : 48

= x^{2} - 12 x + 48 - \frac{64}{x}

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Frequently Asked Questions (FAQ)

What is expand ((x-4)^3)/x ?
The solution to expand ((x-4)^3)/x is x^2-12x+48-(64)/x