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

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

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

expand

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

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

Solution steps

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

Expand

(x - 3) (x - 2) (x - 1) : (x^{2} - 5 x + 6) (x - 1)

= (x^{2} - 5 x + 6) (x - 1)

Distribute parentheses

= x^{2} x + x^{2} (- 1) - 5 xx - 5 x (- 1) + 6 x + 6 (- 1)

Simplify

x^{2} x + x^{2} (- 1) - 5 xx - 5 x (- 1) + 6 x + 6 (- 1) : x^{3} - 6 x^{2} + 11 x - 6

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

36 + 64

(- 2 x^{3} y^{5})^{2} (4 x y^{3})

(x - 9) (x - 2)

(a - b) (a^{2} - 2 ab + b^{2}) (a + b)

\frac{3}{63}

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