Разложение на множители
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/ _____\ / _____\ / ____\ / ____\ / _____\ / _____\ / ____\ / ____\ / _____ _____\ / _____ _____\ / _____ _____\ / _____ _____\ / ____ ____\ / ____ ____\ / ____ ____\ / ____ ____\
| 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 7/8 8 ___ 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 | | 5/8 8 ___ 7/8 8 / 3 5/8 8 ___ 7/8 8 / 3 |
| 5 *\/ 6 *\/ -x | | 5 *\/ 6 *\/ -x | | 5 *\/ 6 *\/ x | | 5 *\/ 6 *\/ x | | I*5 *\/ 6 *\/ -x | | I*5 *\/ 6 *\/ -x | | I*5 *\/ 6 *\/ x | | I*5 *\/ 6 *\/ x | | 2 *\/ 3 *5 *\/ -x I*2 *\/ 3 *5 *\/ -x | | 2 *\/ 3 *5 *\/ -x I*2 *\/ 3 *5 *\/ -x | | 2 *\/ 3 *5 *\/ -x I*2 *\/ 3 *5 *\/ -x | | 2 *\/ 3 *5 *\/ -x I*2 *\/ 3 *5 *\/ -x | | 2 *\/ 3 *5 *\/ x I*2 *\/ 3 *5 *\/ x | | 2 *\/ 3 *5 *\/ x I*2 *\/ 3 *5 *\/ x | | 2 *\/ 3 *5 *\/ x I*2 *\/ 3 *5 *\/ x | | 2 *\/ 3 *5 *\/ x I*2 *\/ 3 *5 *\/ x |
1*|a + -------------------|*|a - -------------------|*|a + ------------------|*|a - ------------------|*|a + ---------------------|*|a - ---------------------|*|a + --------------------|*|a - --------------------|*|a + ------------------------ + --------------------------|*|a + ------------------------ - --------------------------|*|a + - ------------------------ + --------------------------|*|a + - ------------------------ - --------------------------|*|a + ----------------------- + -------------------------|*|a + ----------------------- - -------------------------|*|a + - ----------------------- + -------------------------|*|a + - ----------------------- - -------------------------|
\ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 10 10 / \ 10 10 / \ 10 10 / \ 10 10 / \ 10 10 / \ 10 10 / \ 10 10 / \ 10 10 /
$$\left(a - \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} \sqrt[8]{- x^{3}}}{5}\right) 1 \left(a + \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} \sqrt[8]{- x^{3}}}{5}\right) \left(a + \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} \sqrt[8]{x^{3}}}{5}\right) \left(a - \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} \sqrt[8]{x^{3}}}{5}\right) \left(a + \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} i \sqrt[8]{- x^{3}}}{5}\right) \left(a - \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} i \sqrt[8]{- x^{3}}}{5}\right) \left(a + \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} i \sqrt[8]{x^{3}}}{5}\right) \left(a - \frac{5^{\frac{7}{8}} \cdot \sqrt[8]{6} i \sqrt[8]{x^{3}}}{5}\right) \left(a + \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{- x^{3}}}{10} + \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{- x^{3}}}{10}\right)\right) \left(a + \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{- x^{3}}}{10} - \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{- x^{3}}}{10}\right)\right) \left(a - \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{- x^{3}}}{10} - \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{- x^{3}}}{10}\right)\right) \left(a - \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{- x^{3}}}{10} + \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{- x^{3}}}{10}\right)\right) \left(a + \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{x^{3}}}{10} + \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{x^{3}}}{10}\right)\right) \left(a + \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{x^{3}}}{10} - \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{x^{3}}}{10}\right)\right) \left(a - \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{x^{3}}}{10} - \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{x^{3}}}{10}\right)\right) \left(a - \left(\frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} \sqrt[8]{x^{3}}}{10} + \frac{2^{\frac{5}{8}} \cdot \sqrt[8]{3} \cdot 5^{\frac{7}{8}} i \sqrt[8]{x^{3}}}{10}\right)\right)$$
(((((((((((((((1*(a + 5^(7/8)*6^(1/8)*(-x^3)^(1/8)/5))*(a - 5^(7/8)*6^(1/8)*(-x^3)^(1/8)/5))*(a + 5^(7/8)*6^(1/8)*(x^3)^(1/8)/5))*(a - 5^(7/8)*6^(1/8)*(x^3)^(1/8)/5))*(a + i*5^(7/8)*6^(1/8)*(-x^3)^(1/8)/5))*(a - i*5^(7/8)*6^(1/8)*(-x^3)^(1/8)/5))*(a + i*5^(7/8)*6^(1/8)*(x^3)^(1/8)/5))*(a - i*5^(7/8)*6^(1/8)*(x^3)^(1/8)/5))*(a + (2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10 + i*2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10)))*(a + (2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10 - i*2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10)))*(a - (2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10 + i*2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10)))*(a - (2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10 - i*2^(5/8)*3^(1/8)*5^(7/8)*(-x^3)^(1/8)/10)))*(a + (2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10 + i*2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10)))*(a + (2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10 - i*2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10)))*(a - (2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10 + i*2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10)))*(a - (2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10 - i*2^(5/8)*3^(1/8)*5^(7/8)*(x^3)^(1/8)/10))
(6.0*x^3 + 5.0*a^8)*(5.0*a^8 - 6.0*x^3)
(6.0*x^3 + 5.0*a^8)*(5.0*a^8 - 6.0*x^3)
Рациональный знаменатель
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$$25 a^{16} - 36 x^{6}$$
/ 3 8\ / 8 3\
\- 6*x + 5*a /*\5*a + 6*x /
$$\left(5 a^{8} - 6 x^{3}\right) \left(5 a^{8} + 6 x^{3}\right)$$
(-6*x^3 + 5*a^8)*(5*a^8 + 6*x^3)
Объединение рациональных выражений
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/ 3 8\ / 8 3\
\- 6*x + 5*a /*\5*a + 6*x /
$$\left(5 a^{8} - 6 x^{3}\right) \left(5 a^{8} + 6 x^{3}\right)$$
(-6*x^3 + 5*a^8)*(5*a^8 + 6*x^3)
/ 8 3\ / 8 3\
-\- 5*a + 6*x /*\5*a + 6*x /
$$- \left(- 5 a^{8} + 6 x^{3}\right) \left(5 a^{8} + 6 x^{3}\right)$$
-(-5*a^8 + 6*x^3)*(5*a^8 + 6*x^3)
/ 3 8\ / 8 3\
\- 6*x + 5*a /*\5*a + 6*x /
$$\left(5 a^{8} - 6 x^{3}\right) \left(5 a^{8} + 6 x^{3}\right)$$
(-6*x^3 + 5*a^8)*(5*a^8 + 6*x^3)
/ 3 8\ / 8 3\
\- 6*x + 5*a /*\5*a + 6*x /
$$\left(5 a^{8} - 6 x^{3}\right) \left(5 a^{8} + 6 x^{3}\right)$$
(-6*x^3 + 5*a^8)*(5*a^8 + 6*x^3)