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

The solution to expand ((x+h)^3)/3 is (x^3)/3+x^2h+xh^2+(h^3)/3

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

expand

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

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

Solution steps

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

(x + h)^{3} = x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

\frac{7}{( x - 2 ) ( x + 1 )}

e^{x (x + 3)}

(2 x y - 3 x^{2}) d x + (x^{2} + y) d y

\frac{( 2 - 2 x ) ^{3}}{3}

\frac{d ^{2}}{d x ^{2}} ((y) (x cos (5 x) - sin^{2} (x)))

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