Докажите тождество: х²+1:х²=(х+1:х)²-2

Question

Докажите тождество: х²+1:х²=(х+1:х)²-2

Answer 1

X^2+1/x^2=(x+1/x)(x+1/x)-2
x^2+1/x^2=x^2+1+1+1/x^2-2
x^2+1/x^2=x^2+1/x^2