Question

aduceti la o forma mai simpla expresia :E(x)=2x+1/x-1:(1 - 3xpatrat supra 1-x la a doua) =?

Answer 1

E()=(2x+1)/(x-1)]:[(1-3x²/(1-x²)]=
E(x)=[(2x+1)/(x-1)]:[(1-x²-3x²)/(-1)(x²-1)]
E(x)=[(2x+1)/(x-1)]:[-(1-4x²)/(x²-1)]
E(x)=[(2x+1)/(x-1)]:[(4x²-1)/(x²-1)]
E(x)=[(2x+1)/(x-1)]·[(x²-1)/(4x²-1)]
E(x)=[(2x+1)/(x-1)]·[(x+1)(x-1)/(2x+1)(2x-1)] · simplificam cu ·x-1
E(x)=(2x+1)·[(x+1)/(2x+1)(2x-1)]   simplificam cu 2x+1
E(x)=(x+1)/(2x-1)