Question

question

add: \frac{9x + 14}{x + 7} + \frac{x^2}{x + 7}.

provide your answer below:

Explanation:

Combine the numerators over the common denominator

Using the Fraction Arithmetic knowledge point

$$ \frac{9x + 14}{x + 7} + \frac{x^2}{x + 7} = \frac{x^2 + 9x + 14}{x + 7} $$

Factor the quadratic trinomial in the numerator

Using the Factoring Trinomials knowledge point

$$ x^2 + 9x + 14 = (x + 7)(x + 2) $$

Simplify the rational expression by canceling common factors

Using the Simplifying Rational Expressions knowledge point

$$
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$$

Answer:

Add: \(\frac{9x + 14}{x + 7} + \frac{x^2}{x + 7} =\) <blank>\(x + 2\)</blank>