What is expand (x(x+3)(x+4))/3 ?

The solution to expand (x(x+3)(x+4))/3 is (x^3)/3+(7x^2)/3+4x

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expand (x(x+3)(x+4))/3

expand

\frac{x ( x + 3 ) ( x + 4 )}{3}

\frac{x ^{3}}{3} + \frac{7 x ^{2}}{3} + 4 x

Solution steps

\frac{x ( x + 3 ) ( x + 4 )}{3}

Expand

x (x + 3) (x + 4) : x^{3} + 7 x^{2} + 12 x

= \frac{x ^{3} + 7 x ^{2} + 12 x}{3}

Apply the fraction rule:

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

\frac{x ^{3} + 7 x ^{2} + 12 x}{3} = \frac{x ^{3}}{3} + \frac{7 x ^{2}}{3} + \frac{12 x}{3}

= \frac{x ^{3}}{3} + \frac{7 x ^{2}}{3} + \frac{12 x}{3}

Divide the numbers:

\frac{12}{3} = 4

= \frac{x ^{3}}{3} + \frac{7 x ^{2}}{3} + 4 x

(2 x - 5) l e f t (4 x - 4)

2 (x + \frac{1}{4}) \cdot (x - 3)

(3 x + 7) (3 x - 7)

(x - 9 + 2) (x - 9 - 2)

\frac{9 + ( - 33 )}{4}

What is expand (x(x+3)(x+4))/3 ?
The solution to expand (x(x+3)(x+4))/3 is (x^3)/3+(7x^2)/3+4x