Question

Rezultatul simplificat al raportului (x²+x-6)/(4-x²)

Answer 1

$\frac{ {x}^{2} + x - 6}{4 - {x}^{2} } = \frac{ {x}^{2} + 3x - 2x - 6 }{(2 - x)(2 + x)} = \frac{x(x + 3) - 2(x + 3)}{(2 - x)(2 + x)}$

$= - \frac{(x - 2)(x + 3)}{(x - 2)(2 + x)} = - \frac{x + 3}{2 + x}$