Question

question

subtract: \\(\frac{6}{m^2 - 14m + 45} - \frac{m + 7}{m^2 + 2m - 35}\\).

provide your answer below:

Explanation:

Factor the denominators

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK0
$$

Find the least common denominator

Using the Least Common Denominator knowledge point

$$ \text{LCD} = (m - 9)(m - 5)(m + 7) $$

Rewrite and subtract the expressions

Using the Subtracting Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Simplify the numerator

Using the Simplifying Rational Expressions knowledge point

$$
LATEXBLOCK2
$$

Reduce the rational expression

Using the Simplifying Rational Expressions knowledge point

$$
LATEXBLOCK3
$$

Answer:

Subtract: \(\frac{6}{m^2 - 14m + 45} - \frac{m + 7}{m^2 + 2m - 35}\).

Provide your answer below:
<blank>\(\frac{15-m}{(m-9)(m-5)}\)</blank>