Разложение на множители
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/ ___________\ / ___________\ / ___________\ / ___________\ / ___________\ / ___________\ / ___________\ / ___________\
| _____ / ___ | | _____ / ___ | | ____ / ___ | | ____ / ___ | | _____ / ___ | | _____ / ___ | | ____ / ___ | | ____ / ___ |
/ _____\ / ____\ | _____ _____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | _____ _____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | ____ ____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | ____ ____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | _____ _____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | _____ _____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | ____ ____ 4/5 5 ___ 5 / 2 / 5 \/ 5 | | ____ ____ 4/5 5 ___ 5 / 2 / 5 \/ 5 |
| 4/5 5 ___ 5 / 2 | | 4/5 5 ___ 5 / 2 | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ -d * / - + ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ -d * / - + ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ d * / - + ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ d * / - + ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ -d * / - - ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ -d * / - - ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ d * / - - ----- | | 4/5 5 ___ 5 / 2 ___ 4/5 5 ___ 5 / 2 I*6 *\/ 7 *\/ d * / - - ----- |
| 6 *\/ 7 *\/ -d | | 6 *\/ 7 *\/ d | | 6 *\/ 7 *\/ -d \/ 5 *6 *\/ 7 *\/ -d \/ 8 8 | | 6 *\/ 7 *\/ -d \/ 5 *6 *\/ 7 *\/ -d \/ 8 8 | | 6 *\/ 7 *\/ d \/ 5 *6 *\/ 7 *\/ d \/ 8 8 | | 6 *\/ 7 *\/ d \/ 5 *6 *\/ 7 *\/ d \/ 8 8 | | 6 *\/ 7 *\/ -d \/ 5 *6 *\/ 7 *\/ -d \/ 8 8 | | 6 *\/ 7 *\/ -d \/ 5 *6 *\/ 7 *\/ -d \/ 8 8 | | 6 *\/ 7 *\/ d \/ 5 *6 *\/ 7 *\/ d \/ 8 8 | | 6 *\/ 7 *\/ d \/ 5 *6 *\/ 7 *\/ d \/ 8 8 |
1*|c - -------------------|*|c - ------------------|*|c + ------------------- - ------------------------- + --------------------------------------|*|c + ------------------- - ------------------------- - --------------------------------------|*|c + ------------------ - ------------------------ + -------------------------------------|*|c + ------------------ - ------------------------ - -------------------------------------|*|c + ------------------- + ------------------------- + --------------------------------------|*|c + ------------------- + ------------------------- - --------------------------------------|*|c + ------------------ + ------------------------ + -------------------------------------|*|c + ------------------ + ------------------------ - -------------------------------------|
\ 6 / \ 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 / \ 24 24 6 /
$$1 \left(c - \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{6}\right) \left(c - \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{6}\right) \left(c + \left(- \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt[5]{- d^{2}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{6}\right)\right) \left(c - \left(- \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt[5]{- d^{2}} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{6}\right)\right) \left(c + \left(- \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} \sqrt[5]{d^{2}}}{6}\right)\right) \left(c - \left(- \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}} \sqrt[5]{d^{2}}}{6}\right)\right) \left(c + \left(\frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt[5]{- d^{2}} \sqrt{- \frac{\sqrt{5}}{8} + \frac{5}{8}}}{6}\right)\right) \left(c + \left(\frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{- d^{2}}}{24} - \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt[5]{- d^{2}} \sqrt{- \frac{\sqrt{5}}{8} + \frac{5}{8}}}{6}\right)\right) \left(c + \left(\frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt{- \frac{\sqrt{5}}{8} + \frac{5}{8}} \sqrt[5]{d^{2}}}{6}\right)\right) \left(c + \left(\frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} + \frac{\sqrt{5} \cdot 6^{\frac{4}{5}} \cdot \sqrt[5]{7} \sqrt[5]{d^{2}}}{24} - \frac{6^{\frac{4}{5}} \cdot \sqrt[5]{7} i \sqrt{- \frac{\sqrt{5}}{8} + \frac{5}{8}} \sqrt[5]{d^{2}}}{6}\right)\right)$$
(((((((((1*(c - 6^(4/5)*7^(1/5)*(-d^2)^(1/5)/6))*(c - 6^(4/5)*7^(1/5)*(d^2)^(1/5)/6))*(c + (6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 - sqrt(5)*6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 + i*6^(4/5)*7^(1/5)*(-d^2)^(1/5)*sqrt(5/8 + sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 - sqrt(5)*6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 - i*6^(4/5)*7^(1/5)*(-d^2)^(1/5)*sqrt(5/8 + sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 - sqrt(5)*6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 + i*6^(4/5)*7^(1/5)*(d^2)^(1/5)*sqrt(5/8 + sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 - sqrt(5)*6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 - i*6^(4/5)*7^(1/5)*(d^2)^(1/5)*sqrt(5/8 + sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 + sqrt(5)*6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 + i*6^(4/5)*7^(1/5)*(-d^2)^(1/5)*sqrt(5/8 - sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 + sqrt(5)*6^(4/5)*7^(1/5)*(-d^2)^(1/5)/24 - i*6^(4/5)*7^(1/5)*(-d^2)^(1/5)*sqrt(5/8 - sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 + sqrt(5)*6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 + i*6^(4/5)*7^(1/5)*(d^2)^(1/5)*sqrt(5/8 - sqrt(5)/8)/6)))*(c + (6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 + sqrt(5)*6^(4/5)*7^(1/5)*(d^2)^(1/5)/24 - i*6^(4/5)*7^(1/5)*(d^2)^(1/5)*sqrt(5/8 - sqrt(5)/8)/6))
(6.0*c^5 + 7.0*d^2)*(6.0*c^5 - 7.0*d^2)
(6.0*c^5 + 7.0*d^2)*(6.0*c^5 - 7.0*d^2)
/ 2 5\ / 5 2\
\- 7*d + 6*c /*\6*c + 7*d /
$$\left(6 c^{5} - 7 d^{2}\right) \left(6 c^{5} + 7 d^{2}\right)$$
(-7*d^2 + 6*c^5)*(6*c^5 + 7*d^2)
Объединение рациональных выражений
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/ 2 5\ / 5 2\
\- 7*d + 6*c /*\6*c + 7*d /
$$\left(6 c^{5} - 7 d^{2}\right) \left(6 c^{5} + 7 d^{2}\right)$$
(-7*d^2 + 6*c^5)*(6*c^5 + 7*d^2)
/ 2 5\ / 5 2\
\- 7*d + 6*c /*\6*c + 7*d /
$$\left(6 c^{5} - 7 d^{2}\right) \left(6 c^{5} + 7 d^{2}\right)$$
(-7*d^2 + 6*c^5)*(6*c^5 + 7*d^2)
/ 2 5\ / 5 2\
\- 7*d + 6*c /*\6*c + 7*d /
$$\left(6 c^{5} - 7 d^{2}\right) \left(6 c^{5} + 7 d^{2}\right)$$
(-7*d^2 + 6*c^5)*(6*c^5 + 7*d^2)
Рациональный знаменатель
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$$36 c^{10} - 49 d^{4}$$
/ 2 5\ / 5 2\
\- 7*d + 6*c /*\6*c + 7*d /
$$\left(6 c^{5} - 7 d^{2}\right) \left(6 c^{5} + 7 d^{2}\right)$$
(-7*d^2 + 6*c^5)*(6*c^5 + 7*d^2)