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Multiplication of Any Polynomial

Simplify: 5-x...

Question

Simplify: (5-x) (6-5x) (2-x).

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Solution

$(5 - x) (6 - 5 x) (2 - x) [(5 - x) (6 - 5 x)] (2 - x) [5 (6 - 5 x) - x (6 - 5 x)] (2 - x) [30 - 25 x - 6 x + 5 x^{2}] (2 - x) (5 x^{2} - 31 x + 30) (2 - x) 2 (5 x^{2} - 31 x + 30) - x (5 x^{2} - 31 x + 30) 10 x^{2} - 62 x + 60 - 5 x^{3} - 31 x^{2} - 30 x - 5 x^{3} + 10 x^{2} + 31 x^{2} - 62 x - 30 x + 60 - 5 x^{3} + 41 x^{2} - 92 x + 60$

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