Question

Subtract and simplify, make sure your answer is either an integer or a fraction. Show your work.

2/x^2-2x - x/2x-4

Answer 1

To subtract and simplify the expression 2/x^2 - 2x - x/2x - 4, we need to find a common denominator and combine like terms.

First, let's simplify the expression:
2/x^2 - 2x - x/2x - 4

Since the denominators, x^2 and 2x, are already different, we only need to combine the numerators:
2 - 2x - x

Now, let's combine like terms:
(2 - x) - 2x

Now, let's distribute the negative sign to the terms inside the parentheses:
2 - x - 2x

Next, let's combine like terms again:
2 - 3x

Therefore, the simplified expression is 2 - 3x.