x² + 4xy + 3y² - 6y - 9 = (x² + 4xy + 4y²) - (y² + 6y + 9) = (x + 2y)² - (y + 3)² =
= (x + 2y - y - 3)(x + 2y + y + 3) = (x + y - 3)(x + 3y + 3)
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x² + 4xy + 3y² - 6y - 9 = (x² + 4xy + 4y²) - (y² + 6y + 9) = (x + 2y)² - (y + 3)² =
= (x + 2y - y - 3)(x + 2y + y + 3) = (x + y - 3)(x + 3y + 3)