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    				| 1. | यदि 3x – 2y =11 व xy = 12, तब 27x3 – 8y3 का मान ज्ञात कीजिए। | 
| Answer» ∵ 3x – 2y = 11 …………….. (1) वर्ग करने पर 9x2 + 4y2 – 12xy = 121 9x2 + 4y2 -12 × 12 = 121 9x2 + 4y2 = 121 + 144 = 265 27x3 – 8y3 = (3x)3 – (2y)3 = (3x – 2y)(9x2 + 4y2 + 6xy) = (11)(265 + 6 × 12) = (11)(265 + 72) = (11) (337) = 3707 | |