Question

Subtract the expressions and simplify: (b)/(b²-4b-12) - (6)/(b²-4b-12)

Answer 1

To subtract the given expressions and simplify, we find a common denominator, combine the numerators, and simplify the expression.

Step-by-step explanation:

To subtract the given expressions and simplify, we need to find a common denominator for both fractions. The common denominator in this case is (b²-4b-12). So, the expression becomes:

(b/(b²-4b-12)) - (6/(b²-4b-12))

Next, we can combine the numerators and rewrite the expression as:

((b-6)/(b²-4b-12))

Finally, if factor the denominator, the expression can be simplified further as:

((b-6)/((b-6)(b+2)))

The (b-6) terms cancel out, leaving us with the simplified expression:

1/(b+2)