(x + 3y)² - (x - 3y)²
= (x² + 3²y²) - (x² - 3²y²)
= (x² + 9y²) - (x² - 9y²)
= y²
(x + 3) x (x + 2) + (x - 5)²
= (x + 6) - (x² -5²)
= (x + 6) - x² - 25)
= (x² + (6 - 25)
= x² + (-19)
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(x + 3y)² - (x - 3y)²
= (x² + 3²y²) - (x² - 3²y²)
= (x² + 9y²) - (x² - 9y²)
= y²
(x + 3) x (x + 2) + (x - 5)²
= (x + 6) - (x² -5²)
= (x + 6) - x² - 25)
= (x² + (6 - 25)
= x² + (-19)