Question

Numarul (b^2+b) (b^2+b+2)+1 este patratul numarului?

Answer 1

(b²+b) (b²+b+2)+1

Notam b²+b=x

=> x(x+2)+1=x²+2x+1=(x+1)²

Revenim la notatia initiala:

=>  (x+1)²=(b²+b+1)²

(b²+b) (b²+b+2)+1=(b²+b+1)²