What is expand (x-1)(x-3)(x-6) ?

The solution to expand (x-1)(x-3)(x-6) is x^3-10x^2+27x-18

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expand (x-1)(x-3)(x-6)

expand

(x - 1) (x - 3) (x - 6)

x^{3} - 10 x^{2} + 27 x - 18

Solution steps

(x - 1) (x - 3) (x - 6)

Expand

(x - 1) (x - 3) (x - 6) : (x^{2} - 4 x + 3) (x - 6)

= (x^{2} - 4 x + 3) (x - 6)

Distribute parentheses

= x^{2} x + x^{2} (- 6) - 4 xx - 4 x (- 6) + 3 x + 3 (- 6)

Simplify

x^{2} x + x^{2} (- 6) - 4 xx - 4 x (- 6) + 3 x + 3 (- 6) : x^{3} - 10 x^{2} + 27 x - 18

= x^{3} - 10 x^{2} + 27 x - 18

7 + 43

7 + (- 9)

6 6^{2}

2 (x - 1) + y (x - 1)

24 x^{3} - 16 x^{2} + 8 x

What is expand (x-1)(x-3)(x-6) ?
The solution to expand (x-1)(x-3)(x-6) is x^3-10x^2+27x-18