Adding Rational Expressions
1. 4m-2/3m+2 + 6m -4/ 3m+2=
(4m-2)/(3m+2) + (6m -4)/ (3m+2) = ?
Since the denminators are the same, you can add the numerators. This will result in
(10m-6)/(3m+2)
2. 9/xy^3+, - 7ap/xy^3m=
Your notation "+," makes no sense. The denominator at the end is ambiguous. Learn to use parentheses. Please use a new post for new questions.
To add rational expressions, we follow these steps:
Step 1: Find a common denominator.
Step 2: Rewrite each fraction using the common denominator.
Step 3: Combine the numerators over the common denominator.
Step 4: Simplify, if possible.
Let's apply these steps to the given problem:
1. 4m - 2 / 3m + 2 + 6m - 4 / 3m + 2
Step 1: Find a common denominator.
In this case, the denominators are both 3m + 2, so we do not need to find a common denominator since they are already the same.
Step 2: Rewrite each fraction using the common denominator.
Both fractions already have the same denominator, so we can skip this step.
Step 3: Combine the numerators over the common denominator.
The numerators are (4m - 2) and (6m - 4), respectively.
(4m - 2) + (6m - 4) / 3m + 2
Step 4: Simplify, if possible.
Now we combine the like terms in the numerators:
4m + 6m - 2 - 4 / 3m + 2
Simplifying further:
10m - 6 / 3m + 2
This is the simplified sum of the rational expressions.