Expand using identities: $(3 x^{2} - 5 y)^{2}$

9 x^{2} + 30 x^{2} y + 25 y^{2}

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9 x^{2} - 30 x^{2} y - 25 y^{2}

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9 x^{2} - 30 x^{2} y + 5 y^{2}

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9 x^{2} - 30 x^{2} y + 25 y^{2}

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Solution

The correct option is C $9 x^{2} - 30 x^{2} y + 25 y^{2}$
$(3 x^{2} - 5 y)^{2}$
Using, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$= (3 x^{2})^{2} + (5 y)^{2} - 2 (3 x^{2}) (5 y)$
$= 9 x^{4} + 25 y^{2} - 30 x^{2} y$

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