The common denominator for all the denominators is b(b - 1).
Multiply both the numerator and the denominator by this expression.
Numerator: [ (1/b - 2/(b - 1) ] x (b)(b - 1) = 1(b - 1) - 2(b) = b - 1 - 2b = -1 - b
Denominator: [ 3/b + 1/(b - 1) ] x (b)(b - 1) = 3(b - 1) + 1(b) = 3b - 3 + b = 4b - 3
Answer: (-1 - b) / (4b - 3)
The common denominator for all the denominators is b(b - 1).
Multiply both the numerator and the denominator by this expression.
Numerator: [ (1/b - 2/(b - 1) ] x (b)(b - 1) = 1(b - 1) - 2(b) = b - 1 - 2b = -1 - b
Denominator: [ 3/b + 1/(b - 1) ] x (b)(b - 1) = 3(b - 1) + 1(b) = 3b - 3 + b = 4b - 3
Answer: (-1 - b) / (4b - 3)