Question

x+y=8, xy=6, what is (x×x)+(y×y)

Answer 1

$(x + y)^{2} = {x}^{2} + {y}^{2} + 2xy \\ {8}^{2} = {x}^{2} + {y}^{2} + 2(6) \\ 64 = {x}^{2} + {y}^{2} + 12 \\ 64 - 12 = {x}^{2} + {y}^{2} \\ 52 = {x }^{2} + {y}^{2}$

Answer 2

answer is 52

Hope it helps....