Question

question

divide: \frac{\frac{4}{m^2 - 7m + 12}}{\frac{3}{m - 3} - \frac{2}{m - 4}}.

provide your answer below:

Explanation:

Factor the denominator of the numerator expression

Using the Factoring Trinomials knowledge point

$$ m^2 - 7m + 12 = (m - 3)(m - 4) $$

Simplify the denominator expression

Using the Subtracting Rational Expressions knowledge point

$$
LATEXBLOCK0
$$

Divide the complex fraction

Using the Complex Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Answer:

$$\frac{4}{m-6}$$