Compute the value of 9x2 + 4y2 if xy = 6 and 3x + 2y = 12.
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(3x+2y)^2 = 12^2
= 9x^2 + 4y^2 + (12×6) = 144
= 9x^2 + 4y^2 + 72 = 144
= 9x^2 + 4y^2 = 144 - 72
= 72
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