Question

8x/(x-2)²-(x+2)⁴/16(1/(x+2)²-2/x²-4+1/(x-2)²

Answer 1

Решение во вложении:

Answer 2

To simplify the expression, let's break it down step by step:

1. Simplify the denominators:

   • The denominator of the first term is (x - 2)².
   • The denominator of the second term is 16((1/(x + 2)²) - (2/x² - 4) + 1/(x - 2)²).

2. Find a common denominator for both terms: The common denominator for (x - 2)² and 16((1/(x + 2)²) - (2/x² - 4) + 1/(x - 2)²) is 16(x - 2)².

3. Simplify the numerator: The numerator is 8x - (x + 2)⁴.

4. Combine the terms with the common denominator: The expression becomes: (8x * 16(x - 2)² - (x + 2)⁴) / (x - 2)².

Now, you can simplify the expression further if needed.