Question

Se considera expresia:E(x)=$( x^{2} -1):(x+ \frac{ x^{2} -4}{2x-4} * \frac{2x+4}{ x^{2} +4x+4})$

Answer 1

E(x)=(x²-1):[x+(x²-4)/(2x-4)×(2x+4)/(x²+4x+4)]=
=(x-1)(x+1):[x+(x-2)(x+2)/2(x-2)×2(x+2)/(x+2)²]=
=(x-1)(x+1):(x+1)=x-1