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Inverse of a Function

The factors o...

Question

The factors of the expression $x^{2} + y^{2}$ are

(x + y) (x - y)

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(x + y)^{2}

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(x^{2 / 3} + y^{2 / 3} (x^{4 / 3} + y^{4 / 3})

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(x + i y) (x - i y)

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None of these

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Solution

The correct option is D $(x + i y) (x - i y)$
$x^{2} + y^{2}$ has no linear factors in the real field.
$x^{2} + y^{2} = (x + i y) (x - i y)$ in the complex filed.

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