eliminate A if tan ( A-B) = a and tan ( A+B) = b.

Question

On using tan (p-q ) = (tan p - tan q )/(1+ tan p tan q) and tan p+q= ( tan p + tan q )/( 1- tan p tan q ) i m not getting the answer as stated in my textbook. Plz giv a detailed solution. Answer at d back is b-a = tan 2A ( 1+ ab)

Answer 1

tan(A-B)=tanA-tanB/1+tanAtanB