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What is the simplified form of (\frac{x^{-4}-y^{-4}}{x^{-2}-y^{-2}}), where (x\neq0), (y\neq0), and (x^{2}\neq y^{2})?(\frac{x^{-4}-y^{-4}}{x^{-2}-y^{-2}}) का सरल रूप क्या है, जहाँ (x\neq0), (y\neq0), और (x^{2}\neq y^{2})?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{x^{2}+y^{2}}{x^{2}y^{2}})(\frac{x^{2}+y^{2}}{x^{2}y^{2}})
Let (A=x^{-2}) and (B=y^{-2}). Then (\frac{A^{2}-B^{2}}{A-B}=A+B), so the answer is (x^{-2}+y^{-2}=\frac{x^{2}+y^{2}}{x^{2}y^{2}}).मान लें (A=x^{-2}) और (B=y^{-2}), तो (\frac{A^{2}-B^{2}}{A-B}=A+B)। इसलिए उत्तर (x^{-2}+y^{-2}=\frac{x^{2}+y^{2}}{x^{2}y^{2}}) है।
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