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

The solution to expand (x-1)(x+2)(x-3) is x^3-2x^2-5x+6

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

expand

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

x^{3} - 2 x^{2} - 5 x + 6

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 3) + xx + x (- 3) - 2 x - 2 (- 3) : x^{3} - 2 x^{2} - 5 x + 6

= x^{3} - 2 x^{2} - 5 x + 6

\frac{1}{7}

\frac{7 x}{x - 7} + \frac{7 x + 3}{x - 6}

\frac{5}{50}

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

(2 x - 1)^{5}

What is expand (x-1)(x+2)(x-3) ?
The solution to expand (x-1)(x+2)(x-3) is x^3-2x^2-5x+6