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) (x - 2) (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

\frac{4}{8}

(x + 2) (x - 3)

f (2)

\frac{2}{3}

(x + 2) (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