How do i solve [ (10x + 9) ⁄ (x2 - 4) ] - [ (3) ⁄ (x - 2) ] in simplest form

You can not solve it as there is no equation to solve however to write this in its simplest form you need to have a common denominator of the fractions.

We can see that x²-4 could be written as (x-2) (x+2) and therefore know we have to multiply the second part of the expression by (x+2) / (x+2) to get (x²-4) on the bottom.

Now we have:

(10x+9) / (x²-4) - (3 (x+2)) / (x²-4)

This can also be written as:

((10x+9) - 3 (x+2)) / (x²-4)

Now we can expand and simplify to get:

(7x+3) / (x²-4)