Subtract and if possible simplify
5 - 2
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a-3 a^2-9
multipy the numberator and denomiantor of the first term by (a+3).
That will give you a common denominator.
So then this would be the answer?
5a+13/(a+3)(a-3)
To subtract and simplify the expression (5 - 2) / (a - 3) / (a^2 - 9), we can follow these steps:
Step 1: Simplify the numerator and denominator.
We have (5 - 2) = 3 in the numerator. The denominator, (a - 3), cannot be simplified further.
The denominator, (a^2 - 9), is a difference of squares and can be factored using the identity: a^2 - b^2 = (a - b)(a + b). In this case, a^2 - 9 can be factored as (a - 3)(a + 3).
So, the expression becomes 3 / [(a - 3)(a + 3)].
Step 2: Check for any possible cancellation.
In our case, there are no common factors between the numerator (3) and the denominator [(a - 3)(a + 3)]. Therefore, we cannot cancel anything.
Step 3: Final Simplification.
Since there are no further simplifications possible, the expression 3 / [(a - 3)(a + 3)] is already simplified.
Therefore, the subtracted and simplified expression is 3 / [(a - 3)(a + 3)].