Answer:
The lowest common denominator is x² - 4
Step-by-step explanation:
We want to find the lowest common denominator of the fractions 1/(x+2)², 1/(x -2)², 2/(x²-4)
First note that
x² - 4 = (x - 2)(x + 2)
So, 2/(x²-4) = 2/(x - 2)(x + 2)
The other two terms contain (x - 2)² and (x + 2)²
Therefore, the lowest common denominator is (x-2)(x+2) = x² - 4
