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Simplify (1 + \(\frac{\frac{x - 1}{1}}{\frac{1}{x + 1}}\))(x + 2)

Mathematics
JAMB 1984

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. \(\frac{3x^2 - 1}{(x - 1)}\)
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Correct Answer: Option B
Explanation

\((1 + \frac{x - 1}{\frac{1}{x + 1}})(x + 2)\)

\((x - 1) \div \frac{1}{x + 1} = (x - 1)(x + 1) = x^{2} - 1\)

\((1 + x^{2} - 1)(x + 2) = x^{2}(x + 2)\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts