Господин Экзамен
Раскрыть скобки в (x-x1)*(x-x2)*(x-x3)
Решение
Вы ввели
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(x - x1)*(x - x2)*(x - x3)
$$\left(x - x_{1}\right) \left(x - x_{2}\right) \left(x - x_{3}\right)$$
(x - x1)*(x - x2)*(x - x3)
Рациональный знаменатель
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3 2 2 2 x - x1*x - x2*x - x3*x + x*x1*x2 + x*x1*x3 + x*x2*x3 - x1*x2*x3
$$x^{3} - x^{2} x_{1} - x^{2} x_{2} - x^{2} x_{3} + x x_{1} x_{2} + x x_{1} x_{3} + x x_{2} x_{3} - x_{1} x_{2} x_{3}$$
x^3 - x1*x^2 - x2*x^2 - x3*x^2 + x*x1*x2 + x*x1*x3 + x*x2*x3 - x1*x2*x3
Общий знаменатель
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3 2 2 2 x - x1*x - x2*x - x3*x + x*x1*x2 + x*x1*x3 + x*x2*x3 - x1*x2*x3
$$x^{3} - x^{2} x_{1} - x^{2} x_{2} - x^{2} x_{3} + x x_{1} x_{2} + x x_{1} x_{3} + x x_{2} x_{3} - x_{1} x_{2} x_{3}$$
x^3 - x1*x^2 - x2*x^2 - x3*x^2 + x*x1*x2 + x*x1*x3 + x*x2*x3 - x1*x2*x3