Question

Simplificando a expressão , obtém-se:

Answer 1

[(x - x²)/(x² - 1)]/[(x/x+1) + x]
[(x - x²)/(x² - 1)]/[(2x + x²)/(x+1)]
[(x - x²)/(x² - 1)]*[(x+1)/(2x + x²)]
[(x - x²)*(x+1)]/[(x-1)(x+1)*(2x+x²)]
[x(1 - x)]/[(x-1)*(2x + x²)]
[x(1-x)]/[2x²+x³ - 2x - x²]
[x(1-x)]/[x(2x + x² - 2 -x)]
(1-x)/(2x+x² - 2 -x)
(1-x)/[2(x -1)+x(x -1)]
(1-x)/[(x -1)(2 + x)]