Sr Examen
Factorizar el polinomio 81*x^4*y^8-36*x^2*y^4*z^6+4*z^12
Solución
Ha introducido
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4 8 2 4 6 12 81*x *y - 36*x *y *z + 4*z
$$4 z^{12} + \left(81 x^{4} y^{8} - z^{6} \cdot 36 x^{2} y^{4}\right)$$
(81*x^4)*y^8 - (36*x^2)*y^4*z^6 + 4*z^12
Simplificación general
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12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Parte trigonométrica
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12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Denominador racional
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12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Compilar la expresión
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12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Respuesta numérica
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4.0*z^12 + 81.0*x^4*y^8 - 36.0*x^2*y^4*z^6
4.0*z^12 + 81.0*x^4*y^8 - 36.0*x^2*y^4*z^6
Unión de expresiones racionales
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12 2 4 / 6 2 4\ 4*z + 9*x *y *\- 4*z + 9*x *y /
$$9 x^{2} y^{4} \left(9 x^{2} y^{4} - 4 z^{6}\right) + 4 z^{12}$$
4*z^12 + 9*x^2*y^4*(-4*z^6 + 9*x^2*y^4)
Potencias
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12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Denominador común
[src]
12 4 8 2 4 6 4*z + 81*x *y - 36*x *y *z
$$81 x^{4} y^{8} - 36 x^{2} y^{4} z^{6} + 4 z^{12}$$
4*z^12 + 81*x^4*y^8 - 36*x^2*y^4*z^6
Combinatoria
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2 / 6 2 4\ \- 2*z + 9*x *y /
$$\left(9 x^{2} y^{4} - 2 z^{6}\right)^{2}$$
(-2*z^6 + 9*x^2*y^4)^2