Question

$( \frac{x + 3}{x - 2} - \frac{x - 2}{x + 2} - \frac{7x - 2}{x {}^{2} - 4} )$

Answer 1

Răspuns

Explicație pas cu pas:

Answer 2

(x+3)/(x-2)-(x-2)/(x+2)-(7x-2)/(x²-4)=[(x+3)(x+2)-(x-2)(x-2)-(7x-2)]/(x²-4)=(x²+5x+6-x²+4x-4-7x+2)/(x²-4)=(2x+2)/(x²-4) =2(x+1)/(x-2)(x+2)=2/(x-2)∀x∈R/{2}