Question

Se da expresia E(x)=(1/x-2 - 2/x + 1/x+2 ) :4 /x(x la a 2-a - 4)
Aratati ca E(x)=2

Answer 1

E( x) = [ 1/ ( x - 2) - 2/ x + 1/ ( x + 2) ] : 4/ x • ( x² - 4)
E( x) = [ x( x + 2) - 2( x² - 4) + x( x + 2) ] / [ x( x - 2)( x + 2) ]
E( x) = ( x² + 2x - 2x² + 8 + x² - 2x ) / ( x³ - 4x )
E( x) = 8 / [ x( x² - 4) ] • x / 4 • ( x² -4)
E( x) = 2

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