Question

plz solve the following question no. 7

Answer 1

$x {}^{2} + {y}^{2} + xy \\ = \frac{2 + 1}{2 - 1} + \frac{2 - 1}{2 + 1} + \frac{ \sqrt{ {2}^{2} - {1}^{2} } }{ \sqrt{ {2}^{2} - {1}^{2} } } \\ = \frac{3}{1} + \frac{1}{3} + 1$
$= 3 + \frac{1}{3} + 1 \\ = \frac{13}{3}$
Hope you get the answer.