if 2x + 3y = 14 and xy = 8 , find the value of 4x2 + 9y2
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Step-by-step explanation:
2x + 3y = 14. xy = 8
(2x + 3y)²= 14² (squaring both sides)
4x² + 9y² + 2×(2x) × (3y) = 196
4x² + 9y² + 12xy = 196
4x² + 9y² + 96= 196
4x² + 9y² = 196 - 96 = 100
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