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Factorizar el polinomio x^3+4*x^2-4*x-16

Expresión a simplificar:

Solución

Ha introducido [src]
 3      2           
x  + 4*x  - 4*x - 16
(4x+(x3+4x2))16\left(- 4 x + \left(x^{3} + 4 x^{2}\right)\right) - 16
x^3 + 4*x^2 - 4*x - 16
Simplificación general [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2
Factorización [src]
(x + 4)*(x + 2)*(x - 2)
(x+2)(x+4)(x2)\left(x + 2\right) \left(x + 4\right) \left(x - 2\right)
((x + 4)*(x + 2))*(x - 2)
Compilar la expresión [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2
Potencias [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2
Combinatoria [src]
(-2 + x)*(2 + x)*(4 + x)
(x2)(x+2)(x+4)\left(x - 2\right) \left(x + 2\right) \left(x + 4\right)
(-2 + x)*(2 + x)*(4 + x)
Denominador común [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2
Denominador racional [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2
Respuesta numérica [src]
-16.0 + x^3 + 4.0*x^2 - 4.0*x
-16.0 + x^3 + 4.0*x^2 - 4.0*x
Unión de expresiones racionales [src]
-16 + x*(-4 + x*(4 + x))
x(x(x+4)4)16x \left(x \left(x + 4\right) - 4\right) - 16
-16 + x*(-4 + x*(4 + x))
Parte trigonométrica [src]
       3            2
-16 + x  - 4*x + 4*x 
x3+4x24x16x^{3} + 4 x^{2} - 4 x - 16
-16 + x^3 - 4*x + 4*x^2