Question

f(x) = x ^ 2 - 9 / (x ^ 2) + 5x + 6​

Answer 1

Answer:

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

Step-by-step explanation:

${x}^{2} - 9 \\ \\ 9 = {3}^{2} \\ \\ {x}^{2} - {3}^{2} \\ \\ identity = {a}^{2} - {b}^{2} = \\ (a + b)(a - b) \\ \\( x - 3)(x + 3)$

$\frac{(x + 3)(x - 3)}{ {x}^{2} - 5x + 6 }$

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

x-3 cancel out

use identity x²+(a+b)x+ab

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

is answer