Prima paranteza o scrii cu acelasi numitor si impartirea o faci inmultire
[tex]( \frac{ {(x + 2)}^{2} }{(x - 3)( x+ 2)} - \frac{ {(x - 3)}^{2} }{(x - 3)(x + 2)} - \frac{25}{(x - 3)(x + 2)} ) \times \frac{x + 2}{5} \\ \frac{ {(x + 2)}^{2} - {(x - 3)}^{2} - 25 }{(x - 3)(x + 2)} \times \frac{x + 2}{5} [/tex]
Simplifici numaratorul si folosesti formula a^2 - b^2 = (a-b)(a+b)
[tex] \frac{( \: x + 2 - (x - 3) ) \times (x + 2 + x - 3) - 25}{x - 3} \times \frac{1}{5} \\ \frac{5 \times (2x - 1) - 25}{x - 3} \times \frac{1}{5} \\ \frac{10x - 30}{5(x - 3)} \\ \frac{10(x - 3)}{5(x - 3)} \\ \frac{10}{5} \\ 2[/tex]
=> E (x) = 2 , oricare x apartine R - { -2 ; 3 }
