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Question

Add: x2-y2-1,y2-1-x2,1-x2-y2


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Solution

We have,

x2-y2-1,y2-1-x2,1-x2-y2

On combining the like terms and adding them, we get

=x2y21+(y21x2)+(1x2y2)=x2y21+y21x2+1x2y2=x2x2x2y2+y2y211+1=x2(11-1)+y2(-1+11)+(-1-1+1)=x2(12)+y2(-2+1)+(-2+1)=x2(-1)+y2(-1)+(-1)=-x2y2-1

Hence, when we add x2-y2-1,y2-1-x2,1-x2-y2 we get -x2y2-1.


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