Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)
A
(x2 - 1)(x + 2)
B
x2(x + 2)
C
2 + 34
D
\(\frac{3x^2 - 1}{(x - 1)}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\((1 + \frac{x - 1}{\frac{1}{x + 1}})(x + 2)\)
\((x - 1) \div \frac{1}{x + 1} = (x - 1)(x + 1) = x^{2} - 1\)
\((1 + x^{2} - 1)(x + 2) = x^{2}(x + 2)\)
Source: Myschool Past Questions Archive (Record #32435)