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Popular >

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

Solution

expand

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

Solution

\frac{x ^{3}}{3} - x^{2} + x - \frac{1}{3}

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

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Frequently Asked Questions (FAQ)

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