What is expand (x(x+1)(x+2))/3 ?

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

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expand (x(x+1)(x+2))/3

expand

\frac{x ( x + 1 ) ( x + 2 )}{3}

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

Solution steps

\frac{x ( x + 1 ) ( x + 2 )}{3}

Expand

x (x + 1) (x + 2) : x^{3} + 3 x^{2} + 2 x

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{3}{3} = 1

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

(4 + t^{2}) \frac{d y}{d t}

(2, 3, 1) x (1, - 2, 2)

(6 x + 5) e^{2 x}

\frac{1 0 ^{5}}{1 0 ^{3}}

e^{x} (1 + x)^{17}

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