Question

Помогите решить !!! 1+i/1-i+1-i/1+i

Answer 1

 1+i/1-i+1-i/1+i=2 проверьте

Answer 2

Solution for 1 + i / 1 - i + 1 - i / 1 + i

To solve the expression 1 + i / 1 - i + 1 - i / 1 + i, we can simplify it step by step.

1. Simplify the expression: - First, let's simplify the expression 1 + i / 1 - i: - The complex number i is defined as the square root of -1, so we can use this definition to simplify the expression.

2. Simplify 1 + i / 1 - i: - To simplify 1 + i / 1 - i, we can use the conjugate of the denominator to rationalize the expression.

3. Use the conjugate to rationalize the expression: - The conjugate of 1 - i is 1 + i, so we can multiply both the numerator and the denominator by the conjugate to rationalize the expression.

4. Perform the rationalization: - After rationalizing the expression, we can simplify it further.

5. Simplify the expression 1 - i / 1 + i: - Similarly, we can simplify the expression 1 - i / 1 + i using the same rationalization technique.

6. Combine the results: - Finally, we can combine the results of the two simplified expressions to get the overall result for the given expression.

Let's proceed with the step-by-step simplification of the given expression.