simplify: (x²+y²+1)+(x²+y²-1)+(x²-y²+1)+(y²+1-x²)
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Step-by-step explanation:
(x²+y²+1)+(x²+y²-1)+(x²-y²+1)+(y²+1-x²)
=x²+y²+1+x²+y²-1+x²-y²+1+y²+1-x²
=x²+x²+x²-x²+y²+y²-y²+y²1-1+1+1
=x²(1+1+1-1) +y²(1+1-1+1)+(1-1+1+1)
=x²(2) +y²(2) +(2)
=2x²+2y²+2
=2(x²+y²+1)
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