The process of subtracting rational expressions essentially requires the identification of a common denominator. Once this is found, the expressions need to be rewritten with this common denominator. Similar to fractions, rational expressions can only be directly subtracted from each other if they share the same denominator. Lastly, the resulting expression needs to be simplified to its lowest terms, if feasible.
Topic | Problem | Solution |
---|---|---|
None | $\frac{6 n}{n^{2}-9}-\frac{3}{n+3}$ | Factor the denominator of the first term: $\frac{6n}{(n-3)(n+3)} - \frac{3}{n+3}$ |