(x^2+1)(y^2+1) =x²y²+x²+y²+1=x²y²-2xy+1+x²+y²+2xy=(xy-1)²+(x+y)²=(1/5-1)²+1²=16/25+1=41/25
(x^2+1)(y^2+1) =x^2y^2+x^2+y^2+1=(xy)^2+(x+y)^2-2xy+1=(xy)^2-2xy+1+(x+y)^2=(xy-1)^2+(x+y)^2=(1/5-1)^2+1^2=16/25+1=41/25