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

The solution to expand (1/3 x+1)(x+2)(x+3) is (x^3)/3+(8x^2)/3+7x+6

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

expand

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

\frac{x ^{3}}{3} + \frac{8 x ^{2}}{3} + 7 x + 6

Solution steps

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

Expand

(\frac{1}{3} x + 1) (x + 2) (x + 3) : (\frac{x ^{2}}{3} + \frac{5 x}{3} + 2) (x + 3)

= (\frac{x ^{2}}{3} + \frac{5 x}{3} + 2) (x + 3)

Distribute parentheses

= \frac{x ^{2}}{3} x + \frac{x ^{2}}{3} \cdot 3 + \frac{5 x}{3} x + \frac{5 x}{3} \cdot 3 + 2 x + 2 \cdot 3

Simplify

\frac{x ^{2}}{3} x + \frac{x ^{2}}{3} \cdot 3 + \frac{5 x}{3} x + \frac{5 x}{3} \cdot 3 + 2 x + 2 \cdot 3 : \frac{x ^{3}}{3} + \frac{8 x ^{2}}{3} + 7 x + 6

= \frac{x ^{3}}{3} + \frac{8 x ^{2}}{3} + 7 x + 6

(6 x + 9 y) p o w e r^{2}

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e^{x + y} (x + y)

What is expand (1/3 x+1)(x+2)(x+3) ?
The solution to expand (1/3 x+1)(x+2)(x+3) is (x^3)/3+(8x^2)/3+7x+6