Answer:
B. [tex] \frac{7x^2 + 11x}{x^2 + 6x + 5} [/tex]
Step-by-step explanation:
The sum is worked as shown below:
[tex] \frac{x}{x + 1} + \frac{6x}{x + 5} [/tex]
Use the common denominator to divide each denominator, then use the result to multiply the numerator, you'd have the following:
[tex] \frac{x(x + 5) + 6x(x + 1)}{(x + 1)(x + 5)} [/tex]
Use the distributive property of multiplication to solve
[tex] \frac{x(x) + x(5) + 6x(x) + 6x(1)}{(x(x + 5) + 1(x + 5)} [/tex]
[tex] \frac{x^2 + 5x + 6x^2 + 6x}{x^2 + 5x + x + 5} [/tex]
Pair like terms
[tex] \frac{x^2 + 6x^2 + 5x + 6x}{x^2 + 6x + 5} [/tex]
[tex] \frac{7x^2 + 11x}{x^2 + 6x + 5} [/tex]
The answer is B.
