Question

simplify the following​

Answer 1

Answer:

$= \frac{1}{a^{2} + a - 6 } - \frac{1}{2a^{2} + 10a + 12}$

$= \frac{1}{a^{2} + 3a - 2a - 6 } - \frac{1}{2(a^{2} + 5a + 6)}$

$= \frac{1}{a(a + 3) - 2 (a + 3)} - \frac{1}{2(a^{2} + 2a + 3a+ 6)}$

$= \frac{1}{(a - 2)(a + 3)} - \frac{1}{2[a(a + 2)+ 3(a + 2)]}$

$= \frac{1}{(a - 2)(a + 3)} - \frac{1}{2[(a + 3)(a + 2)]}$

$= \frac{2- 1}{2[(a + 3)(a + 2)]}$

$= \frac{1}{2[(a + 3)(a + 2)]}$