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What is the simplified form of (\frac{x^{-2}-y^{-2}}{x^{-1}-y^{-1}}), where (x\neq0), (y\neq0), and (x\neq y)?(\frac{x^{-2}-y^{-2}}{x^{-1}-y^{-1}}) का सरल रूप क्या है, जहाँ (x\neq0), (y\neq0), और (x\neq y)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{x+y}{xy})(\frac{x+y}{xy})
The numerator is (\frac{y^{2}-x^{2}}{x^{2}y^{2}}) and the denominator is (\frac{y-x}{xy}), so division gives (\frac{x+y}{xy}). In exams, convert negative powers to fractions.अंश (\frac{y^{2}-x^{2}}{x^{2}y^{2}}) और हर (\frac{y-x}{xy}) है, इसलिए भाग देने पर (\frac{x+y}{xy}) मिलता है। परीक्षा में ऋणात्मक घातों को भिन्न में बदलें।
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