1 / A-1 / b = 3, find the value of 2A + 3ab-2b / b-ab-a

1 / A-1 / b = 3, find the value of 2A + 3ab-2b / b-ab-a


1/a-1/b=3,
3ab=b-a.
ab=(b-a)/3
(2a+3ab-2b)/(b-ab-a)
=(a-b)/[2(b-a)/3]
=-3/2



How to make (2a + 5b) square with complete square difference formula


Complete square formula: (x + y) & sup2; = x & sup2; + 2XY + Y & sup2;
(2a+5b)²=(2a)²+2×(2a)×(5b)+(5b)²=4a²+20ab+25b²



A & sup2-b & sup2 (square)
Calculate by square difference


a²-b²
=(a+b)(a-b)