t² + 5x + 16x²
(a + b)² = a² + 2ab + b²
b² = 16x²
b = 4x
2ab = 5x
8xa = 5x
a = 5/8
a² = t² = 25/64
t² + 5x + 16x² = (5/8)² + 2*4x*5/8 + (4x)² = (5/8 + 4x)²
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Verified answer
t² + 5x + 16x²
(a + b)² = a² + 2ab + b²
b² = 16x²
b = 4x
2ab = 5x
8xa = 5x
a = 5/8
a² = t² = 25/64
t² + 5x + 16x² = (5/8)² + 2*4x*5/8 + (4x)² = (5/8 + 4x)²