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Simplificación de expresiones/ Descomposición de multiplicadores/ z^3-z^2-2*z/5+8/125

Factorizar el polinomio z^3-z^2-2*z/5+8/125

Expresión a simplificar:

Solución

Ha introducido [src] 
 3    2   2*z    8 
z  - z  - --- + ---
           5    125
(−2z5+(z3−z2))+8125\left(- \frac{2 z}{5} + \left(z^{3} - z^{2}\right)\right) + \frac{8}{125} 
z^3 - z^2 - 2*z/5 + 8/125
Simplificación general [src] 
 8     3    2   2*z
--- + z  - z  - ---
125              5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
8/125 + z^3 - z^2 - 2*z/5
Descomposición de una fracción [src] 
8/125 + z^3 - z^2 - 2*z/5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
 8     3    2   2*z
--- + z  - z  - ---
125              5
Factorización [src] 
          /             ____\ /             ____\
          |      7    \/ 33 | |      7    \/ 33 |
(x + 2/5)*|x + - -- + ------|*|x + - -- - ------|
          \      10     10  / \      10     10  /
(x+25)(x+(−710+3310))(x+(−710−3310))\left(x + \frac{2}{5}\right) \left(x + \left(- \frac{7}{10} + \frac{\sqrt{33}}{10}\right)\right) \left(x + \left(- \frac{7}{10} - \frac{\sqrt{33}}{10}\right)\right) 
((x + 2/5)*(x - 7/10 + sqrt(33)/10))*(x - 7/10 - sqrt(33)/10)
Combinatoria [src] 
          /               2\
(2 + 5*z)*\4 - 35*z + 25*z /
----------------------------
            125
(5z+2)(25z2−35z+4)125\frac{\left(5 z + 2\right) \left(25 z^{2} - 35 z + 4\right)}{125} 
(2 + 5*z)*(4 - 35*z + 25*z^2)/125
Respuesta numérica [src] 
0.064 + z^3 - z^2 - 0.4*z
0.064 + z^3 - z^2 - 0.4*z
Compilar la expresión [src] 
 8     3    2   2*z
--- + z  - z  - ---
125              5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
8/125 + z^3 - z^2 - 2*z/5
Parte trigonométrica [src] 
 8     3    2   2*z
--- + z  - z  - ---
125              5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
8/125 + z^3 - z^2 - 2*z/5
Unión de expresiones racionales [src] 
8 + 25*z*(-2 + 5*z*(-1 + z))
----------------------------
            125
25z(5z(z−1)−2)+8125\frac{25 z \left(5 z \left(z - 1\right) - 2\right) + 8}{125} 
(8 + 25*z*(-2 + 5*z*(-1 + z)))/125
Denominador racional [src] 
          2                3
40 - 625*z  - 250*z + 625*z 
----------------------------
            625
625z3−625z2−250z+40625\frac{625 z^{3} - 625 z^{2} - 250 z + 40}{625} 
(40 - 625*z^2 - 250*z + 625*z^3)/625
Potencias [src] 
 8     3    2   2*z
--- + z  - z  - ---
125              5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
8/125 + z^3 - z^2 - 2*z/5
Denominador común [src] 
 8     3    2   2*z
--- + z  - z  - ---
125              5
z3−z2−2z5+8125z^{3} - z^{2} - \frac{2 z}{5} + \frac{8}{125} 
8/125 + z^3 - z^2 - 2*z/5
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