Descomposición de una fracción
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$$x^{2} - 4 x + 4$$
Simplificación general
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$$x^{2} - 4 x + 4$$
-2.0*x + (x^3 + 3.0*x)/(2.0 + x) - (16.0 + 3.0*x^2 - 14.0*x)/(-4.0 + x^2)
-2.0*x + (x^3 + 3.0*x)/(2.0 + x) - (16.0 + 3.0*x^2 - 14.0*x)/(-4.0 + x^2)
Denominador racional
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/ 2\ / 3 \ / 2 \ / 2\
\-4 + x /*\x + 3*x/ + (2 + x)*\-16 - 3*x + 14*x/ - 2*x*\-4 + x /*(2 + x)
--------------------------------------------------------------------------
/ 2\
\-4 + x /*(2 + x)
$$\frac{- 2 x \left(x + 2\right) \left(x^{2} - 4\right) + \left(x + 2\right) \left(- 3 x^{2} + 14 x - 16\right) + \left(x^{2} - 4\right) \left(x^{3} + 3 x\right)}{\left(x + 2\right) \left(x^{2} - 4\right)}$$
((-4 + x^2)*(x^3 + 3*x) + (2 + x)*(-16 - 3*x^2 + 14*x) - 2*x*(-4 + x^2)*(2 + x))/((-4 + x^2)*(2 + x))
$$\left(x - 2\right)^{2}$$
Parte trigonométrica
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3 2
x + 3*x 16 - 14*x + 3*x
-2*x + -------- - ----------------
2 + x 2
-4 + x
$$- 2 x - \frac{3 x^{2} - 14 x + 16}{x^{2} - 4} + \frac{x^{3} + 3 x}{x + 2}$$
-2*x + (x^3 + 3*x)/(2 + x) - (16 - 14*x + 3*x^2)/(-4 + x^2)
2 3
-16 - 3*x + 14*x x + 3*x
-2*x + ----------------- + --------
2 2 + x
-4 + x
$$- 2 x + \frac{- 3 x^{2} + 14 x - 16}{x^{2} - 4} + \frac{x^{3} + 3 x}{x + 2}$$
3 2
x + 3*x 16 - 14*x + 3*x
-2*x + -------- - ----------------
2 + x 2
-4 + x
$$- 2 x - \frac{3 x^{2} - 14 x + 16}{x^{2} - 4} + \frac{x^{3} + 3 x}{x + 2}$$
-2*x + (x^3 + 3*x)/(2 + x) - (16 - 14*x + 3*x^2)/(-4 + x^2)
Unión de expresiones racionales
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/ 2\ / 2\ / 2\
-(2 + x)*(16 + x*(-14 + 3*x)) + x*\-4 + x /*\3 + x / - 2*x*\-4 + x /*(2 + x)
----------------------------------------------------------------------------
/ 2\
\-4 + x /*(2 + x)
$$\frac{- 2 x \left(x + 2\right) \left(x^{2} - 4\right) + x \left(x^{2} - 4\right) \left(x^{2} + 3\right) - \left(x + 2\right) \left(x \left(3 x - 14\right) + 16\right)}{\left(x + 2\right) \left(x^{2} - 4\right)}$$
(-(2 + x)*(16 + x*(-14 + 3*x)) + x*(-4 + x^2)*(3 + x^2) - 2*x*(-4 + x^2)*(2 + x))/((-4 + x^2)*(2 + x))
Compilar la expresión
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3 2
x + 3*x 16 - 14*x + 3*x
-2*x + -------- - ----------------
2 + x 2
-4 + x
$$- 2 x - \frac{3 x^{2} - 14 x + 16}{x^{2} - 4} + \frac{x^{3} + 3 x}{x + 2}$$
-2*x + (x^3 + 3*x)/(2 + x) - (16 - 14*x + 3*x^2)/(-4 + x^2)