If tanα\tan \alphatanα and tanβ\tan \betatanβ are roots of x2−px+q=0x^2 - px + q = 0x2−px+q=0, find tan(α+β)\tan(\alpha + \beta)tan(α+β).
p1−q\frac{p}{1-q}1−qp
q1−p\frac{q}{1-p}1−pq
p(1−q)p(1-q)p(1−q)
p1+q\frac{p}{1+q}1+qp