Sr Examen
Factorizar el polinomio y^6+y^4-3*y^2+1
Solución
Ha introducido
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6 4 2 y + y - 3*y + 1
$$\left(- 3 y^{2} + \left(y^{6} + y^{4}\right)\right) + 1$$
y^6 + y^4 - 3*y^2 + 1
Factorización
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/ ____________\ / ____________\ / ____________\ / ____________\
| / ___ | | / ___ | | / ___ | | / ___ |
(x + 1)*(x - 1)*\x + \/ -1 + \/ 2 /*\x - \/ -1 + \/ 2 /*\x + \/ -1 - \/ 2 /*\x - \/ -1 - \/ 2 /
$$\left(x - 1\right) \left(x + 1\right) \left(x + \sqrt{-1 + \sqrt{2}}\right) \left(x - \sqrt{-1 + \sqrt{2}}\right) \left(x + \sqrt{- \sqrt{2} - 1}\right) \left(x - \sqrt{- \sqrt{2} - 1}\right)$$
(((((x + 1)*(x - 1))*(x + sqrt(-1 + sqrt(2))))*(x - sqrt(-1 + sqrt(2))))*(x + sqrt(-1 - sqrt(2))))*(x - sqrt(-1 - sqrt(2)))
Simplificación general
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4 6 2 1 + y + y - 3*y
$$y^{6} + y^{4} - 3 y^{2} + 1$$
1 + y^4 + y^6 - 3*y^2
Denominador racional
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4 6 2 1 + y + y - 3*y
$$y^{6} + y^{4} - 3 y^{2} + 1$$
1 + y^4 + y^6 - 3*y^2
Compilar la expresión
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4 6 2 1 + y + y - 3*y
$$y^{6} + y^{4} - 3 y^{2} + 1$$
1 + y^4 + y^6 - 3*y^2
Unión de expresiones racionales
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2 / 2 / 2\\ 1 + y *\-3 + y *\1 + y //
$$y^{2} \left(y^{2} \left(y^{2} + 1\right) - 3\right) + 1$$
1 + y^2*(-3 + y^2*(1 + y^2))
Combinatoria
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/ 4 2\ (1 + y)*(-1 + y)*\-1 + y + 2*y /
$$\left(y - 1\right) \left(y + 1\right) \left(y^{4} + 2 y^{2} - 1\right)$$
(1 + y)*(-1 + y)*(-1 + y^4 + 2*y^2)
Parte trigonométrica
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4 6 2 1 + y + y - 3*y
$$y^{6} + y^{4} - 3 y^{2} + 1$$
1 + y^4 + y^6 - 3*y^2