Question

(3/2 х-1 :3 х-1/4 х^2-1 -6/3х-1)*3/2 х-1+(3 х-1/3 х-10) ?​

Answer 1

Если не ошибаюсь 1. Если не правильно извините

Answer 2

Let's break down the expression step by step:

1. First, we will simplify the expression within the parentheses.

   a. Start with the expression inside the first set of parentheses: (3/2x - 1) / (3x - 1 / 4x^2 - 1 - 6 / 3x - 1)

   b. In the denominator of this fraction, we have a complex expression: 3x - 1 / 4x^2 - 1 - 6 / 3x - 1

   c. Let's find the least common denominator for this complex fraction, which is 4x^2 - 1: (3x - 1 / (4x^2 - 1)) - (6 / (4x^2 - 1))

   d. Now, combine these fractions: [(3x - 1 - 6) / (4x^2 - 1)] / (3/2x - 1)

   e. Simplify further: [(3x - 7) / (4x^2 - 1)] / (3/2x - 1)

2. Now, we have the simplified expression within the first set of parentheses. Let's multiply it by the next term:

   [(3x - 7) / (4x^2 - 1)] / (3/2x - 1) * (3/2x - 1)

3. Multiplying a fraction by its reciprocal simplifies to 1:

   [(3x - 7) / (4x^2 - 1)] * 1

4. Now, we have the simplified expression within the first set of parentheses. Let's move on to the second set of parentheses:

   (3x - 1) / (3x - 10)

5. Now, let's add the results from step 4 and step 5 together:

   [(3x - 7) / (4x^2 - 1)] + (3x - 1) / (3x - 10)

That's the final expression. If you need to simplify it further or perform any specific operations, please let me know.