What is expand (x-1)*(x-2)*(x-3) ?

The solution to expand (x-1)*(x-2)*(x-3) is x^3-6x^2+11x-6

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expand (x-1)(x-2)(x-3)

expand

(x - 1) \cdot (x - 2) \cdot (x - 3)

x^{3} - 6 x^{2} + 11 x - 6

Solution steps

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

Expand

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

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

Distribute parentheses

= x^{2} x + x^{2} (- 3) - 3 xx - 3 x (- 3) + 2 x + 2 (- 3)

Simplify

x^{2} x + x^{2} (- 3) - 3 xx - 3 x (- 3) + 2 x + 2 (- 3) : x^{3} - 6 x^{2} + 11 x - 6

= x^{3} - 6 x^{2} + 11 x - 6

- 3 2^{\frac{2}{5}}

\frac{15}{180}

\frac{1}{3} + \frac{3}{6}

x (1 - x)^{2}

What is expand (x-1)*(x-2)*(x-3) ?
The solution to expand (x-1)*(x-2)*(x-3) is x^3-6x^2+11x-6