Simplify : (3x + 2y)(3x + 4y) =

9x² + 15xy + 8y²

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9x² - 6xy - 8y²

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9x² + 5xy - 8y²

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Solution

The correct option is A 9x² + 15xy + 8y²
We know the identity,
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

According to the question,
$\Rightarrow (3 x + 2 y) (3 x + 4 y)$
$\Rightarrow (3 x)^{2} + (2 y + 3 y) 3 x + (2 y) (4 y)$
$\Rightarrow 9 x^{2} + 15 x y + 8 y^{2}$

Thus, $(3 x + 2 y) (3 x + 4 y) = 9 x^{2} + 15 x y + 8 y^{2}$

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