Question

Fie expresia E(x)=$\frac{ x^{2} -2x-3}{ x^{2} -6x=9}$ Dupa simplificare se obtine.......

Answer 1

$E(x)= \frac{ x^{2} -2x-3}{ x^{2} -6x+9} = \frac{ x^{2} -1-2x-2}{(x-3) ^{2} }= \frac{(x-1)(x+1)-2(x+1)}{(x-3)^{2}}= \frac{(x+1)(x-3)}{(x-3)^{2}} = \frac{x+1}{x-3}.$