What is expand (x-1)(x^2-5x+6) ?

The solution to expand (x-1)(x^2-5x+6) is x^3-6x^2+11x-6

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expand (x-1)(x^2-5x+6)

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

- 6 + (- 6)

\frac{5 3}{3}

(a - 11) (a + 10)

(s - 2)^{3}

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

What is expand (x-1)(x^2-5x+6) ?
The solution to expand (x-1)(x^2-5x+6) is x^3-6x^2+11x-6