Question

X^2n/(x^n-1)^2 С объяснением пожалуйста Заранее спасибо !

Answer 1

[x^(2*n)] / [x^(2*n-2)] = х^[2*n-(2*n-2)] = x^(2*n-2*n+2) = x²

Answer 2

Mathematical Expression Explanation

The expression you provided is X^2n/(x^n-1)^2. Let's break it down step by step.

The expression can be rewritten as X^(2n)/(x^n-1)^2.

- X: Represents a variable or a number. - n: Represents an exponent or a power.

The expression consists of the following components: 1. Numerator: X^(2n) 2. Denominator: (x^n-1)^2

The numerator is X raised to the power of 2n, and the denominator is (x^n-1) raised to the power of 2.

Simplifying the Expression

To simplify the expression, we can use the properties of exponents. When dividing two terms with the same base, we subtract the exponents.

The expression can be simplified as follows: - X^(2n)/(x^n-1)^2 = X^(2n)/(x^n-1)(x^n-1)

This simplification is based on the fact that (x^n-1)^2 is equivalent to (x^n-1)(x^n-1).

Conclusion

In conclusion, the expression X^2n/(x^n-1)^2 can be simplified to X^(2n)/(x^n-1)(x^n-1) using the properties of exponents.

I hope this explanation helps! If you have further questions or need additional clarification, feel free to ask.