\(\frac{x^4-1}{x^2}\) को सरल करने पर यह बहुपद क्यों नहीं रहेगा?

Why will \(\frac{x^4-1}{x^2}\) not remain a polynomial after simplification?

Explanation opens after your attempt
Correct Answer

A. क्योंकि यह \(x^2-\frac{1}{x^2}\) बनता हैBecause it becomes \(x^2-\frac{1}{x^2}\)

Step 1

Concept

The simplified form is \(x^2-\frac{1}{x^2}\). Because \(\frac{1}{x^2}=x^{-2}\), it is not a polynomial.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि यह \(x^2-\frac{1}{x^2}\) बनता है / Because it becomes \(x^2-\frac{1}{x^2}\). The simplified form is \(x^2-\frac{1}{x^2}\). Because \(\frac{1}{x^2}=x^{-2}\), it is not a polynomial.

Step 3

Exam Tip

सरल रूप \(x^2-\frac{1}{x^2}\) है। \(\frac{1}{x^2}=x^{-2}\) के कारण यह बहुपद नहीं है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{x^4-1}{x^2}\) को सरल करने पर यह बहुपद क्यों नहीं रहेगा? / Why will \(\frac{x^4-1}{x^2}\) not remain a polynomial after simplification?

Correct Answer: A. क्योंकि यह \(x^2-\frac{1}{x^2}\) बनता है / Because it becomes \(x^2-\frac{1}{x^2}\). Explanation: सरल रूप \(x^2-\frac{1}{x^2}\) है। \(\frac{1}{x^2}=x^{-2}\) के कारण यह बहुपद नहीं है। / The simplified form is \(x^2-\frac{1}{x^2}\). Because \(\frac{1}{x^2}=x^{-2}\), it is not a polynomial.

Which concept should I revise for this Mathematics MCQ?

The simplified form is \(x^2-\frac{1}{x^2}\). Because \(\frac{1}{x^2}=x^{-2}\), it is not a polynomial.

What exam hint can help solve this Mathematics question?

सरल रूप \(x^2-\frac{1}{x^2}\) है। \(\frac{1}{x^2}=x^{-2}\) के कारण यह बहुपद नहीं है।