Answer:
(3x² + 2y)²
Explanation:
Given
9 + 12x²y + 4y² ← a perfect square
9 = (3x²)² and 4y² = (2y)²
of the form
9 + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²
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+ 12x²y + 4y² ← a perfect square = (3x²)² and 4y² = (2y)² + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²