Subtract $20 - 3 x + 4 x^{2} - x^{3}$ from $x^{3} - x^{2} + 2 x - 19$ .

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Solution

$(x^{3} - x^{2} + 2 x - 10) - (20 - 3 x + 4 x^{2} - x^{3}) \Rightarrow x^{3} - x^{2} + 2 x - 10 - 20 + 3 x - 4 x^{2} + x^{3} \Rightarrow 2 x^{3} + (x^{2} - 4 x^{2}) + (2 x + 3 x) + (- 10 - 20) \Rightarrow 2 x^{3} - 5 x^{2} + 5 x - 30$

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