What is expand (x^2-2x+3)*(x-4) ?

The solution to expand (x^2-2x+3)*(x-4) is x^3-6x^2+11x-12

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expand (x^2-2x+3)*(x-4)

expand

(x^{2} - 2 x + 3) \cdot (x - 4)

x^{3} - 6 x^{2} + 11 x - 12

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- 4) - 2 xx - 2 x (- 4) + 3 x + 3 (- 4) : x^{3} - 6 x^{2} + 11 x - 12

= x^{3} - 6 x^{2} + 11 x - 12

2 y^{3} - 5 y^{2} - 19 y + 42

27 (m + 2 n)^{3} - (m - 6 n)^{3}

(a - 5 b)^{2} - 16 b^{2}

2 x^{3} + 54 y^{3} - 4 x - 12 y

((2^{k})^{+})^{1} + ((2^{k})^{+})^{1} - 2

What is expand (x^2-2x+3)*(x-4) ?
The solution to expand (x^2-2x+3)*(x-4) is x^3-6x^2+11x-12