Question

simplify.
\\(\frac{5x - 1}{x + 3} + \frac{9}{x(x + 3)}\\)
\\(\frac{?x^2 + square x + square}{x^2 + square x} +\\)

Explanation:

Step1: Find common denominator

The common denominator is $x(x+3) = x^2+3x$.

Step2: Rewrite first fraction

Multiply numerator/denominator by $x$:
$\frac{(5x-1)x}{x(x+3)} = \frac{5x^2 - x}{x^2+3x}$

Step3: Combine the fractions

Add numerators over common denominator:
$\frac{5x^2 - x + 9}{x^2+3x}$

Answer:

The filled expression is $\boldsymbol{\frac{5x^2 + (-1)x + 9}{x^2 + 3x}}$
(The boxes correspond to: 5, -1, 9, 3)