The correct option is B |x y| √((x+y)^2 4xy) = √(x^2+y^2+2xy 4xy) = √(x^2+y^2 2xy) = √((x y)^2) = |x y| ...

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Implicit Differentiation

√x+y2-4xy = ?

Question

$\sqrt{(x + y)^{2} - 4 x y}$ = ?

| x + y |

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∣ ∣ x^{2} - y ∣ ∣

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| x - y |

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∣ ∣ x + y^{2} ∣ ∣

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Solution

The correct option is B $| x - y |$
$\sqrt{(x + y)^{2} - 4 x y}$
$=$ $\sqrt{x^{2} + y^{2} + 2 x y - 4 x y}$
$=$ $\sqrt{x^{2} + y^{2} - 2 x y}$
$=$ $\sqrt{(x - y)^{2}}$
$=$ $| x - y |$

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