What is expand ((x+5)^3)/3 ?

The solution to expand ((x+5)^3)/3 is (x^3)/3+5x^2+25x+125/3

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expand ((x+5)^3)/3

expand

\frac{( x + 5 ) ^{3}}{3}

\frac{x ^{3}}{3} + 5 x^{2} + 25 x + \frac{125}{3}

Solution steps

\frac{( x + 5 ) ^{3}}{3}

(x + 5)^{3} = x^{3} + 15 x^{2} + 75 x + 125

= \frac{x ^{3} + 15 x ^{2} + 75 x + 125}{3}

Apply the fraction rule:

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

\frac{x ^{3} + 15 x ^{2} + 75 x + 125}{3} = \frac{x ^{3}}{3} + \frac{15 x ^{2}}{3} + \frac{75 x}{3} + \frac{125}{3}

= \frac{x ^{3}}{3} + \frac{15 x ^{2}}{3} + \frac{75 x}{3} + \frac{125}{3}

Divide the numbers:

\frac{15}{3} = 5

= \frac{x ^{3}}{3} + 5 x^{2} + \frac{75 x}{3} + \frac{125}{3}

Divide the numbers:

\frac{75}{3} = 25

= \frac{x ^{3}}{3} + 5 x^{2} + 25 x + \frac{125}{3}

\frac{e ^{2 x} ( 5 e ^{3 x} - 2 )}{25}

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(2 u^{2} + 2 v^{2}) 2 u^{2} + 2 v^{2} + 4

What is expand ((x+5)^3)/3 ?
The solution to expand ((x+5)^3)/3 is (x^3)/3+5x^2+25x+125/3