Answer:
[tex]\frac{7}{x+7}[/tex]
Step-by-step explanation:
Step 1: Pull a 7 from the top
[tex]\frac{7x + 42}{x^2 + 13x + 42}[/tex]
[tex]\frac{7(x + 6)}{x^2 + 13x + 42}[/tex]
Step 2: Factor the bottom
[tex]\frac{7(x + 6)}{(x + 7)(x + 6)}[/tex]
Step 3: Cancel the top (x+6) and the bottom (x+6)
[tex]\frac{7}{x+7}[/tex]
Answer: [tex]\frac{7}{x+7}[/tex]
