Question

What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12?

Answer 1

Answer:

$\frac{1}{(x + 2)(x - 3)}$

Step-by-step explanation:

$\frac{x - 5}{ {x}^{2} - 3x - 10 } \times \frac{x + 4}{ {x}^{2} + x - 12} \\ \frac{x - 5}{(x - 5)(x + 2)} \times \frac{x + 4}{(x + 4)(x - 3)} \\ \frac{1}{(x + 2)(x - 3)} = \frac{1}{ {x}^{2} - x - 6 }$