Sr Examen
Factorizar el polinomio m^8-6*m^4*n^5+9*n^10
Solución
Ha introducido
[src]
8 4 5 10 m - 6*m *n + 9*n
$$9 n^{10} + \left(m^{8} - 6 m^{4} n^{5}\right)$$
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 /
$$\left(m - \sqrt[4]{3} \sqrt[4]{n^{5}}\right) \left(m + \sqrt[4]{3} \sqrt[4]{n^{5}}\right) \left(m + \sqrt[4]{3} i \sqrt[4]{n^{5}}\right) \left(m - \sqrt[4]{3} i \sqrt[4]{n^{5}}\right)$$
(((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
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
m^8 + 9*n^10 - 6*m^4*n^5
Compilar la expresión
[src]
8 10 4 5 m + 9*n - 6*m *n
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
m^8 + 9*n^10 - 6*m^4*n^5
Denominador racional
[src]
8 10 4 5 m + 9*n - 6*m *n
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
m^8 + 9*n^10 - 6*m^4*n^5
Parte trigonométrica
[src]
8 10 4 5 m + 9*n - 6*m *n
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
m^8 + 9*n^10 - 6*m^4*n^5
Denominador común
[src]
8 10 4 5 m + 9*n - 6*m *n
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
m^8 + 9*n^10 - 6*m^4*n^5
Potencias
[src]
8 10 4 5 m + 9*n - 6*m *n
$$m^{8} - 6 m^{4} n^{5} + 9 n^{10}$$
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 /
$$m^{4} \left(m^{4} - 6 n^{5}\right) + 9 n^{10}$$
9*n^10 + m^4*(m^4 - 6*n^5)