Simplify $(6 x^{2} - 5 y)^{2}$

36 x^{4} + 60 x^{2} y + 25 y^{2}

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36 x^{2} + 60 x^{2} y + 25 y^{2}

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36 x^{4} + 60 x^{2} + 25 y^{2}

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36 x^{4} - 60 x^{2} y + 25 y^{2}

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Solution

The correct option is D $36 x^{4} - 60 x^{2} y + 25 y^{2}$
$(6 x^{2} - 5 y)^{2}$
Using $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ we get,
$(6 x^{2})^{2} - 2 (6 x^{2}) (5 y) + (5 y)^{2}$
$= 36 x^{4} - 60 x^{2} y + 25 y^{2} y^{2}$

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