What should be subtracted from $x^{2} - 4 x y - y^{2}$ to get $1$ ?

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

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{- x}^{2} + 4 x y + y^{2} + 1

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x^{2} - 4 x y - y^{2} - 1

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{- x}^{2} + 4 x y + y^{2} - 1

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Solution

The correct option is C $x^{2} - 4 x y - y^{2} - 1$
Let the algebraic expression that has to be subtracted be $a$ . Then,
$x^{2} - 4 x y - y^{2} - a = 1$
$a = x^{2} - 4 x y - y^{2} - 1$
which required algebraic expression.

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