Find the value of 27xcube + 8ycube if 3x+2yis equal to 20 and xyis equal to 14/9
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Answer:
(3x+2y)cube=27xcube+8ycube+3×3x×2y
(3x+2y)
20cube =27xcube+8ycube+18xy(20)
8000 = 27xcube+8ycube+18×14/9×20
8000 = 27xcube+8ycube+2×280
8000-560 = 27xcube+8ycube
therefore 27xcube+8ycube = 7440
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