Question

Which of the following is equal to the rational expression when x=-2 or -1 x²-4/x²)(x+1)?

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

Answer 1

The value of the rational expression when x=-2 or -1 is undefined.

Step-by-step explanation:

To find the value of the given rational expression when x=-2 or -1, we substitute these values for x in the expression. Let's evaluate the expression step by step:

1. Substitute x=-2 into the expression: (-2)²-4/(-2)²(-2+1) = 4-4/4(-1) = 0/(-4) = 0
2. Substitute x=-1 into the expression: (-1)²-4/(-1)²(-1+1) = 1-4/1(0) = 1/0

Therefore, the value of the rational expression when x=-2 or -1 is undefined. None of the given options can be equal to the rational expression.