$(9 x + 5 y) (4 x + 3 y)$

36 x^{2} + 47 x y + 15 y^{2}

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15 x^{2} + 47 x y + 36 y^{2}

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36 x^{2} + 20 x y + 15 y^{2}

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47 x^{2} + 36 x y + 15 y^{2}

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Solution

The correct option is D $36 x^{2} + 47 x y + 15 y^{2}$
Let us multiply the given monomials as shown below:

$(9 x + 5 y) (4 x + 3 y) = (9 x \times 4 x) + (9 x \times 3 y) + (5 y \times 4 x) + (5 y \times 3 y) = 36 x^{2} + 27 x y + 20 x y + 15 y^{2} = 36 x^{2} + 47 x y + 15 y^{2}$

Hence, $(9 x + 5 y) (4 x + 3 y) = 36 x^{2} + 47 x y + 15 y^{2}$ .

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Subtract:

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