Can someone explain to be how to put (x/ (x^2-4)) in another form... please show step by step
thank you!
To put the expression x/ (x^2-4) in another form, we can try to simplify it or factorize it. Let's break it down step by step:
Step 1: Factorize the denominator
To factorize the denominator x^2-4, we recognize that it is a difference of squares. So we can rewrite it as (x+2)(x-2).
Step 2: Rewrite x/ (x^2-4)
Using the factorization from step 1, we can rewrite the expression as: x/ [(x+2)(x-2)].
Step 3: Simplify further, if possible
If there are any common factors in the numerator and denominator, we can simplify further. However, in this case, x does not have any common factors with (x+2)(x-2), so we cannot simplify it any further.
Therefore, the final form of the expression is x/ [(x+2)(x-2)].
Note: It is always helpful to check for any restrictions or conditions where the expression is undefined. In this case, when x = 2 or x = -2, the denominator becomes zero, which would make the expression undefined.