# Answer to Question #25161 in Algebra for Alina

Question #25161

if x^2 + y^2 =86 and xy = -16 find the value of (x-y)^2

Expert's answer

Let's transform required expression so that it can be represented in terms of known expressions:(x-y)^2=x^2-2*xy+y^2=(x^2+y^2) +(-2xy)=Now we can substitute given values to obtain the final result:=86+(-2)*(-16)=86+32=118

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