A=a^2-2ab
B=a^2-3ab-b^2
A+B
=a^2-2ab+a^2-3ab-b^2
=a^2+a^2-2ab-3ab-b^2
=2a^2-5ab-b^2
(B-A)/4
=[a^2-3ab-b^2-(a^2-2ab)]/4
=[a^2-3ab-b^2-a^2+2ab]/4
=[a^2-a^2+2ab-3ab-b^2]/4
=(-ab-b^2)/4
=-b(a+b)/4
2A-3B+c=0
c=3B-2A
C=3(a^2-3ab-b^2)-2(a^2-2ab)
=3a^2-9ab-3b^2-2a^2+4ab
=3a^2-2a^2-9ab+4ab-3b^2
=a^2-5ab-3b^2