If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find...

Mathematics

JAMB 1985

If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form

A. x² - 1
B. x² + 1
C. x² + 4
D. x² - 4
E. 1

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Correct Answer: Option D

Explanation

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

= 6

\(\frac{6x}{x^2 - 4}\) = 6x

a = x² - 4

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If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find...

Correct Answer: Option D

Explanation

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