Let α and β be the roots of the equation \(\rm \frac{1}{x+a+b}=\frac{1}{x}+\frac{1}{a}+\frac{1}{b}\); a ≠ 0, b ≠ 0, x ≠ 0.
Which one of the following is a quadratic equation whose roots are α2 and β2?
1
x2 + (a2 + b2)x + a2b2 = 0
2
x2 - (a2 + b2)x + a2b2 = 0
3
x2 - (a2 + b2)x - a2b2 = 0
4
x2 + (a2 + b2)x - a2b2 = 0