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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

12 \cdot 1

y^{2} + 15 y + 36

4 (- \frac{1}{2})^{2}

7 28 z + 63 z

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