Correct Answer: Option C

Explanation

9(x + y)² - 4(x - y)²

Using difference of two squares which says

a² - b² = (a + b)(a - b) = 9(x + y)² - 4(x - y)²

= [3(x + y)]² - [2(x - y)]^-2

= [3(x + y) + 2(x - y) + 2(x - y)][3(x + y) - 2(x - y)]

= [3x +3y + 2x - 2y][3x + 3y - 2x + 2y]

= (5x + y)(x + 5y)

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