Simplification of $(6 x - 2 y)^{2}$ gives .

36 x^{2} + 4 y^{2} + 24 x y

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36 x^{2} + 4 y^{2} - 12 x y

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18 x^{2} + 4 y^{2} - 24 x y

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36 x^{2} + 4 y^{2} - 24 x y

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Solution

The correct option is D $36 x^{2} + 4 y^{2} - 24 x y$
Given: $(6 x - 2 y)^{2}$
Using the identity:
$(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$(6 x - 2 y)^{2} = (6 x)^{2} + (2 y)^{2} - 2 \times 6 x \times 2 y$
$\Rightarrow (6 x - 2 y)^{2} = 36 x^{2} + 4 y^{2} - 24 x y$

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