Sr Examen
Factorizar el polinomio y*2*y-3*y-y^2-5+2*y*y-y*5+y*7*y^2
Solución
Ha introducido
[src]
2 2 y*2*y - 3*y - y - 5 + 2*y*y - y*5 + y*7*y
$$y^{2} \cdot 7 y + \left(- 5 y + \left(y 2 y + \left(\left(- y^{2} + \left(y 2 y - 3 y\right)\right) - 5\right)\right)\right)$$
(y*2)*y - 3*y - y^2 - 5 + (2*y)*y - y*5 + (y*7)*y^2
Simplificación general
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3
Factorización
[src]
/ ________________ \ / ________________ \ / ________________ \ | / ______ / ___\ | | / ______ / ___\ | | / ______ | | 1 / 187 \/ 7509 | 1 I*\/ 3 | 59 | | 1 / 187 \/ 7509 | 1 I*\/ 3 | 59 | | 1 / 187 \/ 7509 59 | |x + - - 3 / --- + -------- *|- - - -------| - -----------------------------------------|*|x + - - 3 / --- + -------- *|- - + -------| - -----------------------------------------|*|x + - - 3 / --- + -------- - -------------------------| | 7 \/ 686 882 \ 2 2 / ________________| | 7 \/ 686 882 \ 2 2 / ________________| | 7 \/ 686 882 ________________| | / ___\ / ______ | | / ___\ / ______ | | / ______ | | | 1 I*\/ 3 | / 187 \/ 7509 | | | 1 I*\/ 3 | / 187 \/ 7509 | | / 187 \/ 7509 | | 147*|- - - -------|*3 / --- + -------- | | 147*|- - + -------|*3 / --- + -------- | | 147*3 / --- + -------- | \ \ 2 2 / \/ 686 882 / \ \ 2 2 / \/ 686 882 / \ \/ 686 882 /
$$\left(x + \left(\frac{1}{7} - \frac{59}{147 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}}\right)\right) \left(x + \left(\frac{1}{7} - \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}} - \frac{59}{147 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}} - \frac{59}{147 \sqrt[3]{\frac{\sqrt{7509}}{882} + \frac{187}{686}}} + \frac{1}{7}\right)\right)$$
((x + 1/7 - (187/686 + sqrt(7509)/882)^(1/3)*(-1/2 - i*sqrt(3)/2) - 59/(147*(-1/2 - i*sqrt(3)/2)*(187/686 + sqrt(7509)/882)^(1/3)))*(x + 1/7 - (187/686 + sqrt(7509)/882)^(1/3)*(-1/2 + i*sqrt(3)/2) - 59/(147*(-1/2 + i*sqrt(3)/2)*(187/686 + sqrt(7509)/882)^(1/3))))*(x + 1/7 - (187/686 + sqrt(7509)/882)^(1/3) - 59/(147*(187/686 + sqrt(7509)/882)^(1/3)))
Unión de expresiones racionales
[src]
2 3 -5 - 5*y + 2*y + 7*y + y*(-3 + y)
$$7 y^{3} + 2 y^{2} + y \left(y - 3\right) - 5 y - 5$$
-5 - 5*y + 2*y^2 + 7*y^3 + y*(-3 + y)
Denominador racional
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3
Denominador común
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3
Parte trigonométrica
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3
Compilar la expresión
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3
Combinatoria
[src]
2 3 -5 - 8*y + 3*y + 7*y
$$7 y^{3} + 3 y^{2} - 8 y - 5$$
-5 - 8*y + 3*y^2 + 7*y^3