What is the simplified form of (\frac{x^{10}-1024}{x^{5}-32}), where (x^{5}\neq32)?(\frac{x^{10}-1024}{x^{5}-32}) का सरल रूप क्या है, जहाँ (x^{5}\neq32)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x^{5}+32)(x^{5}+32)
We use (x^{10}-1024=(x^{5})^{2}-32^{2}=(x^{5}-32)(x^{5}+32)). Cancelling the common factor leaves (x^{5}+32).(x^{10}-1024=(x^{5})^{2}-32^{2}=(x^{5}-32)(x^{5}+32))। समान गुणनखंड कटने पर (x^{5}+32) बचता है।
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