Sr Examen
Factorizar el polinomio 64*s^4+9*m^8+48*s^2*m^4
Solución
Ha introducido
[src]
4 8 2 4 64*s + 9*m + 48*s *m
$$m^{4} \cdot 48 s^{2} + \left(9 m^{8} + 64 s^{4}\right)$$
64*s^4 + 9*m^8 + (48*s^2)*m^4
Simplificación general
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Factorización
[src]
/ _____\ / _____\ / _____\ / _____\ | 3/4 4 / 2 | | 3/4 4 / 2 | | 3/4 4 / 2 | | 3/4 4 / 2 | | 6 *\/ -s | | 6 *\/ -s | | I*6 *\/ -s | | I*6 *\/ -s | |m + -------------|*|m - -------------|*|m + ---------------|*|m - ---------------| \ 3 / \ 3 / \ 3 / \ 3 /
$$\left(m - \frac{6^{\frac{3}{4}} \sqrt[4]{- s^{2}}}{3}\right) \left(m + \frac{6^{\frac{3}{4}} \sqrt[4]{- s^{2}}}{3}\right) \left(m + \frac{6^{\frac{3}{4}} i \sqrt[4]{- s^{2}}}{3}\right) \left(m - \frac{6^{\frac{3}{4}} i \sqrt[4]{- s^{2}}}{3}\right)$$
(((m + 6^(3/4)*(-s^2)^(1/4)/3)*(m - 6^(3/4)*(-s^2)^(1/4)/3))*(m + i*6^(3/4)*(-s^2)^(1/4)/3))*(m - i*6^(3/4)*(-s^2)^(1/4)/3)
Parte trigonométrica
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Denominador racional
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Compilar la expresión
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Denominador común
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Potencias
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2
Unión de expresiones racionales
[src]
8 4 4 2 9*m + 64*s + 48*m *s
$$9 m^{8} + 48 m^{4} s^{2} + 64 s^{4}$$
9*m^8 + 64*s^4 + 48*m^4*s^2