x2+2x-24 per x2+11x+30

[tex] \frac{x {}^{2} + 2x - 24}{x {}^{2} + 11x + 30 } \\ = \frac{x(x + 6) - 4(x + 6)}{x(x + 6) + 5(x + 6)} \\ = \frac{(x - 4)(x + 6)}{(x + 5)(x + 6)} \\ = \frac{x - 4}{x + 5} [/tex]