If 3x + 4y = 16 and xy = 4; find the value of 9x²+16y²
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3x + 4y = 16
Doing square both side
(3x + 4y)² = 16²
(3x)² + (4y)² + 2(3x)(4y) = 256
9x² + 16y² + 24xy = 256
9x² + 16y² + 24(4) = 256
9x² + 16y² = 256 - 96
9x² + 16y² = 160
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