(UFGO) Simplificando a expressão $\phantom{X}\dfrac{\;a^2\,+\,a\;}{\;b^2\,+\,b\;}\centerdot \dfrac{\;a^2\,-\,a\;}{\;b^2\,-\,b\;}\centerdot \dfrac{\;b^2\,-\,1\;}{\;a^2\,-\,1\;}\phantom{X}$ obtém-se:
a)
$\,\dfrac{\;a\;}{\;b\;}\phantom{X}$
b)
$\,\dfrac{\;b\;}{\;a\;}\,$
c)
$\,\dfrac{\;a^2\;}{\;b^2\;}\,$
d)
$\,\dfrac{\;b^2\;}{\;a^2\;}\,$
e)
$\,\dfrac{\;ab\;}{\;b\;}\,$
(PUC) Simplificando a expressão $\phantom{X}\dfrac{\;2(x\,-\,2)(x\,-\,3)^3\,-\,3(x\,-\,2)^2(x\,-\,3)^2\;}{(x\,-\,3)^6}\phantom{X}$ obtém-se:
a)
$\,\dfrac{\;x(x\,-\,2)\;}{(x\,-\,3)^3}\,$
b)
$\,\dfrac{\;x(2\,-\,x)\;}{(x\,-\,3)^3}\,$
c)
$\,\dfrac{\;x(x\,-\,2)\;}{(x\,-\,3)^4}\,$
d)
$\,\dfrac{\;x(2\,-\,x)\;}{(x\,-\,3)^4}\,$
e)
$\,\dfrac{\;5x(x\,-\,2)\;}{(x\,-\,3)^4}\,$
(PUC) Simplificada a expressão $\phantom{X}\dfrac{\;x^3\,-\,3x^2y^2\,+\,2xy^3\;}{x^4y\,-\,8xy^4}\phantom{X}$ temos:
a)
$\,\dfrac{x\,-\,y}{\;x^2\,+\,2xy\,+\,4y^2\;}\,$
b)
$\,\dfrac{x\,+\,y}{\;x\,-\,y\;}\,$
c)
$\,\dfrac{x(x\,-\,y)}{\;x(x\,+\,y)\;}\,$
d)
$\,\dfrac{x\,-\,y}{\;(x\,-\,2y)^2\;}\,$
e)
$\,\dfrac{x\,+\,2y}{\;x^2\,-\,2x\,+\,4y^2\;}\,$
