To simplify the expression 12а-3в÷12а+3в, we substitute в with -5/6.
12а - 3(-5/6) ÷ 12а + 3(-5/6)
Next, simplify the multiplication and division.
12а + 5/2 ÷ 12а - 5/2
Since we have a division, we can rewrite the expression as a multiplication by the reciprocal.
(12а + 5/2) * (12а - 5/2)
Now, simplify the multiplication of the binomials.
144а^2 - 25/4
So, the simplified expression is 144а^2 - 25/4.
