√x(x+1)=√x+3 - √1+1/x^2

Question

√x(x+1)=√x+3 - √1+1/x^2

Answer 1

(x-1)(x+1)/[(1-x)(1+x+x²)]-x²/(1+x+x²)=-(x+1)/(1+x+x²)-x²/(1+x+x²)=
=(-x-1-x²)/(1+x+x²)=-(1+x+x²)/(1+x+x²)=-1