Simplify 1x−2 1 x − 2 + 1x+2 1 x + 2 + 2xx2−4

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

Simplify $\frac{1}{x - 2}$ + $\frac{1}{x + 2}$ + $\frac{2 x}{x^{2} - 4}$

\frac{2 x}{(x - 2) (x + 2) (x^{2} - 4)}

\frac{2 x}{x^{2} - 4}

\frac{x}{x^{2} - 4}

\frac{4 x}{x^{2} - 4}

Answer Details

$\frac{1}{x - 2}$ + $\frac{1}{x + 2}$ + $\frac{2 x}{x^{2} - 4}$
= $\frac{(x + 2) + (x - 2) + 2 x}{(x + 2) (x - 2)}$
= $\frac{4 x}{x^{2} - 4}$

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