Question

1 . Se dã expresia : E(x)=(1 supra x2 - 4 supra x3 + 4 supra x4 ) : x-2 supra x2 , x € R \ { 0 , 2 } .

Answer 1

(\frac{1}{ x^{2} } - \frac{4}{x^{3}}+\frac{4}{x^{4}}) :\frac{x-2}{x^{2}}=[/tex]= $( \frac{1}{ x^{2} } - \frac{4}{x^{3}}+\frac{4}{x^{4}})* \frac{x^{2}}{x-2}$$=[tex] \frac{ x^{2}-4x+4 }{ x^{2} }* \frac{1}{x-2} = \frac{(x-2)^{2}}{ x^{2} } * \frac{1}{x-2} = \frac{x-2}{ x^{2} }$