Question

Find the lowest common denominator. 1/(x+2)^2, 1/(x-2)^2, 2/x^2-4

Answer 1

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