Question

simplifica fractia algebrica x^2-5x-24/x^2-9

Answer 1

$\frac{x^2-5x-24}{x^2-9} = \ ? \\ \\ x^2-5x-24= \\ = x^2-8x+3x-24 \\ = x(x-8)+3(x-8) \\ =(x-8)(x+3) \\ \\ x^2-9= \\ = (x+3)(x-3) \\ \\ {\frac{x^2-5x-24}{x^2-9} = \frac{(x-8)(x+3)}{(x+3)(x-3) } = \frac{x-8}{x-3} }$