Sr Examen
Factorizar el polinomio z^3+3*z^2+3*z+3
Solución
Ha introducido
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3 2 z + 3*z + 3*z + 3
$$\left(3 z + \left(z^{3} + 3 z^{2}\right)\right) + 3$$
z^3 + 3*z^2 + 3*z + 3
Simplificación general
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3 2 3 + z + 3*z + 3*z
$$z^{3} + 3 z^{2} + 3 z + 3$$
3 + z^3 + 3*z + 3*z^2
Factorización
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/ / ___\\ / / ___\\ | 3 ___ | 1 I*\/ 3 || | 3 ___ | 1 I*\/ 3 || / 3 ___\ |x + 1 + \/ 2 *|- - - -------||*|x + 1 + \/ 2 *|- - + -------||*\x + 1 + \/ 2 / \ \ 2 2 // \ \ 2 2 //
$$\left(x + \left(1 + \sqrt[3]{2} \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)\right) \left(x + \left(1 + \sqrt[3]{2} \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)\right) \left(x + \left(1 + \sqrt[3]{2}\right)\right)$$
((x + 1 + 2^(1/3)*(-1/2 - i*sqrt(3)/2))*(x + 1 + 2^(1/3)*(-1/2 + i*sqrt(3)/2)))*(x + 1 + 2^(1/3))
Unión de expresiones racionales
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3 + z*(3 + z*(3 + z))
$$z \left(z \left(z + 3\right) + 3\right) + 3$$
3 + z*(3 + z*(3 + z))
Parte trigonométrica
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3 2 3 + z + 3*z + 3*z
$$z^{3} + 3 z^{2} + 3 z + 3$$
3 + z^3 + 3*z + 3*z^2
Compilar la expresión
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3 2 3 + z + 3*z + 3*z
$$z^{3} + 3 z^{2} + 3 z + 3$$
3 + z^3 + 3*z + 3*z^2
Denominador racional
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3 2 3 + z + 3*z + 3*z
$$z^{3} + 3 z^{2} + 3 z + 3$$
3 + z^3 + 3*z + 3*z^2