Разложение на множители
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/ ______________________ \ / ______________________ \ / ______________________ \
| / _________ / ___\ | | / _________ / ___\ | | / _________ |
| / 135461 \/ 3255153 | 1 I*\/ 3 | | | / 135461 \/ 3255153 | 1 I*\/ 3 | | | / 135461 \/ 3255153 |
| 3 / ------ + ----------- *|- - - -------| | | 3 / ------ + ----------- *|- - + -------| | | 3 / ------ + ----------- |
| 62 \/ 71874 726 \ 2 2 / 1502 | | 62 \/ 71874 726 \ 2 2 / 1502 | | 62 \/ 71874 726 1502 |
1*|x + - -- + ------------------------------------------- - ------------------------------------------------|*|x + - -- + ------------------------------------------- - ------------------------------------------------|*|x + - -- + --------------------------- - --------------------------------|
| 99 3 ______________________| | 99 3 ______________________| | 99 3 ______________________|
| / ___\ / _________ | | / ___\ / _________ | | / _________ |
| | 1 I*\/ 3 | / 135461 \/ 3255153 | | | 1 I*\/ 3 | / 135461 \/ 3255153 | | / 135461 \/ 3255153 |
| 3267*|- - - -------|*3 / ------ + ----------- | | 3267*|- - + -------|*3 / ------ + ----------- | | 3267*3 / ------ + ----------- |
\ \ 2 2 / \/ 71874 726 / \ \ 2 2 / \/ 71874 726 / \ \/ 71874 726 /
$$1 \left(x - \left(\frac{62}{99} + \frac{1502}{3267 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}} - \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}}{3}\right)\right) \left(x - \left(\frac{62}{99} - \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}}{3} + \frac{1502}{3267 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}}\right)\right) \left(x - \left(- \frac{\sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}}{3} + \frac{1502}{3267 \sqrt[3]{\frac{135461}{71874} + \frac{\sqrt{3255153}}{726}}} + \frac{62}{99}\right)\right)$$
((1*(x - (62/99 + (135461/71874 + sqrt(3255153)/726)^(1/3)*(-1/2 - i*sqrt(3)/2)/3 - 1502/(3267*(-1/2 - i*sqrt(3)/2)*(135461/71874 + sqrt(3255153)/726)^(1/3)))))*(x - (62/99 + (135461/71874 + sqrt(3255153)/726)^(1/3)*(-1/2 + i*sqrt(3)/2)/3 - 1502/(3267*(-1/2 + i*sqrt(3)/2)*(135461/71874 + sqrt(3255153)/726)^(1/3)))))*(x - (62/99 + (135461/71874 + sqrt(3255153)/726)^(1/3)/3 - 1502/(3267*(135461/71874 + sqrt(3255153)/726)^(1/3))))
3 2
13 - 54*x - 33*x + 62*x
$$- 33 x^{3} + 62 x^{2} - 54 x + 13$$
13 - 54*x - 33*x^3 + 62*x^2
3 2
13 - 54*x - 33*x + 62*x
$$- 33 x^{3} + 62 x^{2} - 54 x + 13$$
13 - 54*x - 33*x^3 + 62*x^2
3 2
13 - 54*x - 33*x + 62*x
$$- 33 x^{3} + 62 x^{2} - 54 x + 13$$
13 - 54*x - 33*x^3 + 62*x^2
2 2 2 2
(-3 + 7*x) + (-2 + 3*x) - 3*x - x *(-7 + 33*x)
$$- x^{2} \cdot \left(33 x - 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
(-3 + 7*x)^2 + (-2 + 3*x)^2 - 3*x^2 - x^2*(-7 + 33*x)
9.0*(-0.666666666666667 + x)^2 + 49.0*(-0.428571428571429 + x)^2 - 3.0*x^2 - x^2*(-7.0 + 33.0*x)
9.0*(-0.666666666666667 + x)^2 + 49.0*(-0.428571428571429 + x)^2 - 3.0*x^2 - x^2*(-7.0 + 33.0*x)
2 2 2 2
(-3 + 7*x) + (-2 + 3*x) - 3*x + x *(7 - 33*x)
$$x^{2} \cdot \left(- 33 x + 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
2 2 2 2
(3*x - 2) + (7*x - 3) - 3*x + x *(7 - 33*x)
$$x^{2} \cdot \left(- 33 x + 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
2 2 2 2
(-3 + 7*x) + (-2 + 3*x) - 3*x - x *(-7 + 33*x)
$$- x^{2} \cdot \left(33 x - 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
(-3 + 7*x)^2 + (-2 + 3*x)^2 - 3*x^2 - x^2*(-7 + 33*x)
Объединение рациональных выражений
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2 2 2 2
(-3 + 7*x) + (-2 + 3*x) - 3*x - x *(-7 + 33*x)
$$- x^{2} \cdot \left(33 x - 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
(-3 + 7*x)^2 + (-2 + 3*x)^2 - 3*x^2 - x^2*(-7 + 33*x)
Рациональный знаменатель
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2 2 3 2
(-3 + 7*x) + (-2 + 3*x) - 33*x + 4*x
$$- 33 x^{3} + 4 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
2 2 2 2
(-3 + 7*x) + (-2 + 3*x) - 3*x - x *(-7 + 33*x)
$$- x^{2} \cdot \left(33 x - 7\right) - 3 x^{2} + \left(3 x - 2\right)^{2} + \left(7 x - 3\right)^{2}$$
(-3 + 7*x)^2 + (-2 + 3*x)^2 - 3*x^2 - x^2*(-7 + 33*x)