Answer :

Given that,

x + y = 4

Squaring both sides, we get

(x + y)^{2} = 4^{2}

x^{2} + y^{2} + 2xy = 16

x^{2} + y^{2} + 2 (2) = 16

x^{2} + y^{2} = 16 – 4

x^{2} + y^{2} =12

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