Question

X plus 4 over x squared plus 5x plus 6 times x plus 3 over x squared minus 16

Answer 1

`(x + 4)/( x^(2) + 5x + 6 )` +
`(x + 3)/( x^(2) - 16)` Factor the denominator terms


`((x + 4)(x + 3))/((x + 3)(x + 2)(x + 4)(x - 4))` (x + 4) and (x + 3) will cancel out


`(1)/((x + 2)(x - 4))` Here's the final answer.