Question

Find the difference and simplify.

Answer 1

Explanation:

`(x + 1)/(x - 4) - (x + 3)/(x + 2) \\ ((x + 1)(x + 2))/((x - 4)(x + 2)) - ((x + 3)(x - 4))/((x + 2)(x - 4)) \\ \frac{ {x}^(2) + 3x + 2 }{(x + 2)(x - 4)} - \frac{ {x}^(2) - x - 12 }{(x + 2)(x - 4)} \\ \frac{( {x}^(2) + 3x + 2) - ( {x}^(2) - x - 12)}{(x + 2)(x - 4)} \\ \frac{ {x}^(2) + 3x + 2 - {x}^(2) + x + 12}{(x + 2)(x - 4)} \\ (4x + 14)/((x + 2)(x - 4)) \\ (2(2x + 7))/((x + 2)(x - 4))`