Problem

Add the rational expressions. \[ \frac{18 a-1}{3 a+3}+\frac{13-6 a}{3 a+3} \]

Solution

Step 1 :Combine the numerators: \(18a-1+13-6a\)

Step 2 :Simplify the numerator: \(12a+12\)

Step 3 :Factor out the common factor in the numerator and denominator: \(\frac{12(a+1)}{3(a+1)}\)

Step 4 :Cancel out the common factor: \(\frac{12}{3} = 4\)

Step 5 :The simplified sum of the rational expressions is \(\boxed{4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/gqOwq8L6K0/

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