This week in Precalc we learned how to simplify add, and subtract rational expression I choose this subject because i was intriged about cancling out factor in the numerator and denominator and it was very hard for me to understand at first. Learning how to properly add and subtract rational expressions can save you time simplify and allows you to simplify more advanced expressions that have variables and polynomials

To add and subtract complex rational expressions, follow these steps:

1. Find a common denominator: Identify the least common denominator (LCD) for the rational expressions involved. This is the least common multiple of the denominators.

2. Convert each fraction: Rewrite each fraction so that its denominator matches the common denominator found in step 1.

3. Perform the operation: Add or subtract the numerators of the fractions while keeping the common denominator unchanged.

4. Simplify if necessary: Simplify the resulting fraction by factoring and canceling out common factors.

Here’s an example:

Let’s add the following two complex rational expressions:

1. Find the least common denominator (LCD), which is .
2. Convert each fraction:


3. Add the converted fractions:

4. The result can be further simplified if possible.

How to simplify a rational expresion with common factors in the numerator and denominator: