Question

Aratati ca E(x)=x(x-2)-3\x(x-4)-5 are cea mai simpla forma E(x)=x-3\x-5, x apartine R\{-1;5}. AJUTORRRRRRRRRRR !!!

Answer 1

$E(x)= \frac{x(x-2)-3}{x(x-4)-5}= \frac{x^2-2x-3}{x^2-4x-5} = \frac{x^2-3x+x-3}{x^2-5x+x-5} = \frac{x(x-3)+(x-3)}{x(x-5)+(x-5)}=$$\frac{(x+1)(x-3)}{(x+1)(x-5)}= \frac{(x-3)}{(x-5)}$