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यदि a – b = 4 व ab = 21, तब a3 – b3 का मान ज्ञात कीजिए। |
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Answer» a – b = 4 वर्ग करने पर a2 + b2 – 2ab = 16 a2 + b2 – 2 × 21 = 16 a2 + b2 = 16 + 42 = 58 अब a3 – b3 = (a – b)(a + b2 + ab) = (4)(58 + 21) = (4)(79) = 316 |
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