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यदि x + y = 12 व xy = 27, तब सिद्ध कीजिए कि x3 + y3 = 756

Answer»

∵ x + y = 12

घन करने पर x3 + y3 + 3xy (x + y) = 1728

x3 + y3 + 3 × 27 (12) = 1728

x3 + y3 + 972 = 1728

x3 + y3 = 1728 – 972 = 756



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