Simplificación general
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/ 3\
\b / 3
a - b
---------------
2 2
a + b - 2*a*b
$$\frac{a^{b^{3}} - b^{3}}{a^{2} - 2 a b + b^{2}}$$
(a^(b^3) - b^3)/(a^2 + b^2 - 2*a*b)
a^(b^3)/(a - b)^2 + (-b^3 + 4.0*a*b^2)/(b - a)^2 + 4.0*a*b^2/(-a^2 - b^2 + 2.0*a*b)
a^(b^3)/(a - b)^2 + (-b^3 + 4.0*a*b^2)/(b - a)^2 + 4.0*a*b^2/(-a^2 - b^2 + 2.0*a*b)
Denominador racional
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/ / 3\ \
| \b / 2 2 / 3 2\| / 2 2 \ 2 2 2
\a *(b - a) + (a - b) *\- b + 4*a*b //*\- a - b + 2*a*b/ + 4*a*b *(a - b) *(b - a)
------------------------------------------------------------------------------------------
2 2 / 2 2 \
(a - b) *(b - a) *\- a - b + 2*a*b/
$$\frac{4 a b^{2} \left(- a + b\right)^{2} \left(a - b\right)^{2} + \left(a^{b^{3}} \left(- a + b\right)^{2} + \left(a - b\right)^{2} \left(4 a b^{2} - b^{3}\right)\right) \left(- a^{2} + 2 a b - b^{2}\right)}{\left(- a + b\right)^{2} \left(a - b\right)^{2} \left(- a^{2} + 2 a b - b^{2}\right)}$$
((a^(b^3)*(b - a)^2 + (a - b)^2*(-b^3 + 4*a*b^2))*(-a^2 - b^2 + 2*a*b) + 4*a*b^2*(a - b)^2*(b - a)^2)/((a - b)^2*(b - a)^2*(-a^2 - b^2 + 2*a*b))
/ / 3\\
| 3 \b /|
-\b - a /
--------------
2
(a - b)
$$- \frac{- a^{b^{3}} + b^{3}}{\left(a - b\right)^{2}}$$
-(b^3 - a^(b^3))/(a - b)^2
/ / 3\\
| 3 \b /|
-\b - a /
---------------
2 2
a + b - 2*a*b
$$- \frac{- a^{b^{3}} + b^{3}}{a^{2} - 2 a b + b^{2}}$$
-(b^3 - a^(b^3))/(a^2 + b^2 - 2*a*b)
Parte trigonométrica
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/ 3\
\b / 3 2 2
a - b + 4*a*b 4*a*b
-------- + ------------- + -----------------
2 2 2 2
(a - b) (b - a) - a - b + 2*a*b
$$\frac{4 a b^{2}}{- a^{2} + 2 a b - b^{2}} + \frac{a^{b^{3}}}{\left(a - b\right)^{2}} + \frac{4 a b^{2} - b^{3}}{\left(- a + b\right)^{2}}$$
a^(b^3)/(a - b)^2 + (-b^3 + 4*a*b^2)/(b - a)^2 + 4*a*b^2/(-a^2 - b^2 + 2*a*b)
/ 3\
\b / 3 2 2
a - b + 4*a*b 4*a*b
-------- + ------------- + -----------------
2 2 2 2
(a - b) (b - a) - a - b + 2*a*b
$$\frac{4 a b^{2}}{- a^{2} + 2 a b - b^{2}} + \frac{a^{b^{3}}}{\left(a - b\right)^{2}} + \frac{4 a b^{2} - b^{3}}{\left(- a + b\right)^{2}}$$
a^(b^3)/(a - b)^2 + (-b^3 + 4*a*b^2)/(b - a)^2 + 4*a*b^2/(-a^2 - b^2 + 2*a*b)
Compilar la expresión
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/ 3\
\b / 3 2 2
a - b + 4*a*b 4*a*b
-------- + ------------- + -----------------
2 2 2 2
(a - b) (b - a) - a - b + 2*a*b
$$\frac{4 a b^{2}}{- a^{2} + 2 a b - b^{2}} + \frac{a^{b^{3}}}{\left(a - b\right)^{2}} + \frac{4 a b^{2} - b^{3}}{\left(- a + b\right)^{2}}$$
a^(b^3)/(a - b)^2 + (-b^3 + 4*a*b^2)/(b - a)^2 + 4*a*b^2/(-a^2 - b^2 + 2*a*b)
Unión de expresiones racionales
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/ / 3\ \
/ 2 \ | \b / 2 2 2 | 2 2 2
\- b + a*(-a + 2*b)/*\a *(b - a) + b *(a - b) *(-b + 4*a)/ + 4*a*b *(a - b) *(b - a)
------------------------------------------------------------------------------------------
2 2 / 2 \
(a - b) *(b - a) *\- b + a*(-a + 2*b)/
$$\frac{4 a b^{2} \left(- a + b\right)^{2} \left(a - b\right)^{2} + \left(a \left(- a + 2 b\right) - b^{2}\right) \left(a^{b^{3}} \left(- a + b\right)^{2} + b^{2} \left(a - b\right)^{2} \left(4 a - b\right)\right)}{\left(- a + b\right)^{2} \left(a - b\right)^{2} \left(a \left(- a + 2 b\right) - b^{2}\right)}$$
((-b^2 + a*(-a + 2*b))*(a^(b^3)*(b - a)^2 + b^2*(a - b)^2*(-b + 4*a)) + 4*a*b^2*(a - b)^2*(b - a)^2)/((a - b)^2*(b - a)^2*(-b^2 + a*(-a + 2*b)))