A Expressão Algébrica equivale a...?
(x/x+1 - x/x-1) (1-x^2/2)
a) 2x b) x c) -2x d) -x e) x^2/ x^2-1
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(x/x+1 - x/x-1) (1-x^2/2)
a) 2x b) x c) -2x d) -x e) x^2/ x^2-1
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[x/(x +1) - x/(x - 1)][ (1 - x²)/2 ]
= [ x(x - 1) - x(x + 1) ](1 - x²) / 2(x² - 1)
= ( x² - x - x² - x )(1 - x²) / 2(x² - 1)
= -2x(1 - x²) / 2(x² - 1)
= 2x(x² - 1) / 2(x² - 1)
= x
Answer : B