calculate the value of 9 X square + 4 y square if x y = 6 and 3 X + 2y = 12
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Answer:
9x² + 4y² = 72
Step-by-step explanation:
(3x+2y)² = 9x² + 12xy + 4y² = (12)²..................[∵ 3x + 2y = 12]
9x² + 12xy + 4y² = 144
9x² + 4y² = 144 - 12xy
9x² + 4y² = 144 - 12(6)..........................................[∵ xy = 6]
9x² + 4y² = 144 - 72
9x² + 4y² = 72
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