Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option B
Explanation:
\((1 + \frac{x - 1}{\frac{1}{x + 1}})(x + 2)\)
\((x - 1) \div \frac{1}{x + 1} = (x - 1)(x + 1) = x^{2} - 1\)
\((1 + x^{2} - 1)(x + 2) = x^{2}(x + 2)\)
\((1 + \frac{x - 1}{\frac{1}{x + 1}})(x + 2)\)
\((x - 1) \div \frac{1}{x + 1} = (x - 1)(x + 1) = x^{2} - 1\)
\((1 + x^{2} - 1)(x + 2) = x^{2}(x + 2)\)