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Which option is the simplified form of (\frac{x^{6}-1}{x^{3}-1}), where (x^{3}\neq1)?कौन-सा विकल्प (\frac{x^{6}-1}{x^{3}-1}) का सरल रूप है, जहाँ (x^{3}\neq1)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x^{3}+1)(x^{3}+1)
Since (x^{6}-1=(x^{3}-1)(x^{3}+1)), cancelling the common factor gives (x^{3}+1). In exams, recognize the (A^{2}-B^{2}) form.(x^{6}-1=(x^{3}-1)(x^{3}+1)), इसलिए समान गुणनखंड कटने पर (x^{3}+1) मिलता है। परीक्षा में (A^{2}-B^{2}) रूप पहचानें।
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