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Expresia va rog mult

Expresia Va Rog Mult class=

Răspuns :

E(x)=[x/(x+1)-2/(1-x)] : (x²+x+2)/(x⁴-x²) =
=[x(1-x)-2(x+1)/(x+1)(1-x)] : (x²+x+2)/x²(x²-1) =
=(-x²-x-2)/(x+1)(1-x) × x²(x²-1)/(x²+x+2) =
=(x²+x+2)/(x+1)(x-1) × x²(x-1)(x+1)/(x²+x+2) =
= x²