Expand using identity : $(x - 2 y + 6) (x - 2 y - 6)$

x^{2} - 4 x + 4 y^{2} - 16

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

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x^{3} - 4 y + 4 y^{2} - 16

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x^{3} - 4 x y + 4 y^{2} + 36

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Solution

The correct option is B $x^{2} - 4 x y + 4 y^{2} - 36$
$(x - 2 y + 6) (x - 2 y - 6)$
$= (x - 2 y)^{2} - 6^{2}$ ...[Using $a^{2} - b^{2} = (a + b) (a - b)$ ]
$= (x^{2} - 2 (x) (2 y) + (2 y)^{2}) - 36$ ...[Using $(a - b)^{2} = a^{2} - 2 a b + b^{2}$ ]
$= x^{2} - 4 x y + 4 y^{2} - 36$

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