jika 1/a+1/b=3 a.b=1, maka nilai 1/a-1/b= tolong beri penjelasan ya, makasih

1/a+1/b=3
(a+b)/a.b=3
a+b=3

(a+b)^2 = a^2 +2.a.b +b^2
3^2 = a^2 + b^2 +2
9 = (a+b)(a-b) +2
7 = 3(a-b)
a-b=7/3

1/a-1/b=(a-b)/a.b
=7/3