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Popular >

expand ((x+3)^3)/3

Solution

expand

\frac{( x + 3 ) ^{3}}{3}

Solution

\frac{x ^{3}}{3} + 3 x^{2} + 9 x + 9

Solution steps

\frac{( x + 3 ) ^{3}}{3}

(x + 3)^{3} = x^{3} + 9 x^{2} + 27 x + 27

= \frac{x ^{3} + 9 x ^{2} + 27 x + 27}{3}

Apply the fraction rule:

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

\frac{x ^{3} + 9 x ^{2} + 27 x + 27}{3} = \frac{x ^{3}}{3} + \frac{9 x ^{2}}{3} + \frac{27 x}{3} + \frac{27}{3}

= \frac{x ^{3}}{3} + \frac{9 x ^{2}}{3} + \frac{27 x}{3} + \frac{27}{3}

Divide the numbers:

\frac{9}{3} = 3

= \frac{x ^{3}}{3} + 3 x^{2} + \frac{27 x}{3} + \frac{27}{3}

Divide the numbers:

\frac{27}{3} = 9

= \frac{x ^{3}}{3} + 3 x^{2} + 9 x + 9

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Frequently Asked Questions (FAQ)

What is expand ((x+3)^3)/3 ?
The solution to expand ((x+3)^3)/3 is (x^3)/3+3x^2+9x+9