Final answer:
To find the partial fraction decomposition of the rational function 4/(x²-4), factor the denominator as (x+2)(x-2). Then, rewrite the fraction using A and B as the constant values.
Step-by-step explanation:
To find the partial fraction decomposition of the rational function 4/(x²-4), we need to factor the denominator.
We can factor the denominator as (x+2)(x-2).
Therefore, the partial fraction decomposition is 4/(x²-4) = A/(x+2) + B/(x-2), where A and B are constants.