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Which option is the simplified form of (\frac{x^{12}-4096}{x^{6}-64}), where (x^{6}\neq64)?कौन-सा विकल्प (\frac{x^{12}-4096}{x^{6}-64}) का सरल रूप है, जहाँ (x^{6}\neq64)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x^{6}+64)(x^{6}+64)
Since (x^{12}-4096=(x^{6})^{2}-64^{2}=(x^{6}-64)(x^{6}+64)), cancelling the common factor gives (x^{6}+64).(x^{12}-4096=(x^{6})^{2}-64^{2}=(x^{6}-64)(x^{6}+64))। समान गुणनखंड कटने पर (x^{6}+64) मिलता है।
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