Complementing function using DeMorgan's Laws

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The question states find the complement of the following expression:

x'y' + xy

i am not sure about my solution which is:

(x'+y') + xy

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$$\begin{align} (x'y'+xy)' & = (x'y')' \cdot (xy)'. \\ & = (x+y) \cdot (x'+y'). \\ & = xx'+xy'+yx'+yy'. \\ & =xy'+yx'. \end{align}$$

Since $xx'=yy'=0.$