Simplify \(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\)
A
\(\frac{12}{35x + 1}\)
B
\(\frac{1}{35(x + 1)}\)
C
\(\frac{12x}{35(x + 7)}\)
D
\(\frac{12}{35x + 35}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{1}{5x + 5}\) + \(\frac{1}{7x+ 7}\) = \(\frac{1}{5(x + 1)}\) + \(\frac{1}{7(x + 1)}\)
= \(\frac{7 + 5}{35(x + 1)}\)
= \(\frac{12}{35(x + 1)}\)
Source: Myschool Past Questions Archive (Record #32090)