Question

find the least common multiple

1/(x+2)^2 + 1/(x-2)^2 + 2/x^2-4

options:
1. (x+2)^3(x-2)^3
2. (x+ 2)^2(x- 2)^2
3. (x^2+2) (x^2-2)

Answer 1

1

Answer 2

are you sure

Answer 3

yes

Answer 4

I came up with answer number two.

The denominator in the first term is (x+2)(x+2)

The denominator in the second term is (x-2)(x-2)

The denominator in the third term is a difference of square so it is (x+2)(x-2)

So the lowest common multiple must include (x+2)(x+2)(x-2)(x-2)