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Simplificación de expresiones/ Descomposición de multiplicadores/ m^8-6*m^4*n^5+9*n^10

Factorizar el polinomio m^8-6*m^4*n^5+9*n^10

Expresión a simplificar:

Solución

Ha introducido [src] 
 8      4  5      10
m  - 6*m *n  + 9*n
9n10+(m8−6m4n5)9 n^{10} + \left(m^{8} - 6 m^{4} n^{5}\right) 
m^8 - 6*m^4*n^5 + 9*n^10
Factorización [src] 
/             ____\ /             ____\ /               ____\ /               ____\
|    4 ___ 4 /  5 | |    4 ___ 4 /  5 | |      4 ___ 4 /  5 | |      4 ___ 4 /  5 |
\m + \/ 3 *\/  n  /*\m - \/ 3 *\/  n  /*\m + I*\/ 3 *\/  n  /*\m - I*\/ 3 *\/  n  /
(m−34n54)(m+34n54)(m+34in54)(m−34in54)\left(m - \sqrt[4]{3} \sqrt[4]{n^{5}}\right) \left(m + \sqrt[4]{3} \sqrt[4]{n^{5}}\right) \left(m + \sqrt[4]{3} i \sqrt[4]{n^{5}}\right) \left(m - \sqrt[4]{3} i \sqrt[4]{n^{5}}\right) 
(((m + 3^(1/4)*(n^5)^(1/4))*(m - 3^(1/4)*(n^5)^(1/4)))*(m + i*3^(1/4)*(n^5)^(1/4)))*(m - i*3^(1/4)*(n^5)^(1/4))
Simplificación general [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Respuesta numérica [src] 
m^8 + 9.0*n^10 - 6.0*m^4*n^5
m^8 + 9.0*n^10 - 6.0*m^4*n^5
Compilar la expresión [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Denominador racional [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Parte trigonométrica [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Combinatoria [src] 
           2
/ 4      5\ 
\m  - 3*n /
(m4−3n5)2\left(m^{4} - 3 n^{5}\right)^{2} 
(m^4 - 3*n^5)^2
Denominador común [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Potencias [src] 
 8      10      4  5
m  + 9*n   - 6*m *n
m8−6m4n5+9n10m^{8} - 6 m^{4} n^{5} + 9 n^{10} 
m^8 + 9*n^10 - 6*m^4*n^5
Unión de expresiones racionales [src] 
   10    4 / 4      5\
9*n   + m *\m  - 6*n /
m4(m4−6n5)+9n10m^{4} \left(m^{4} - 6 n^{5}\right) + 9 n^{10} 
9*n^10 + m^4*(m^4 - 6*n^5)
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