Question

question

subtract: \\(\frac{4n}{6n - 7} - \frac{6}{6n - 7}\\)

provide your answer below:

Explanation:

Identify the common denominator

Using the Adding Rational Expressions knowledge point

$$ \text{The denominators are already identical: } 6n - 7 $$

Combine the numerators

Using the Adding Rational Expressions knowledge point

$$ \frac{4n}{6n - 7} - \frac{6}{6n - 7} = \frac{4n - 6}{6n - 7} $$

Factor the numerator

Using the Greatest Common Factor Factoring knowledge point

$$ 4n - 6 = 2(2n - 3) $$

Check for further simplification

Using the Simplifying Rational Expressions knowledge point

$$ \frac{2(2n - 3)}{6n - 7} \text{ cannot be simplified further because there are no common factors.} $$

Answer:

Subtract: \(\frac{4n}{6n - 7} - \frac{6}{6n - 7} =\) <blank>\(\frac{4n - 6}{6n - 7}\)</blank>