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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

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Frequently Asked Questions (FAQ)

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