Question on: JAMB Mathematics - 1993
Simplify (\frac{1}{p}) - (\frac{1}{q}) + (\frac{p}{q}) - (\frac{q}{p})
A
\(\frac{1}{p - q}\)
B
\(\frac{-1}{p + q}\)
C
\(\frac{1}{pq}\)
D
\(\frac{1}{pq(p - q)}\)
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Correct Option: B
(\frac{1}{p}) - (\frac{1}{q}) + (\frac{p}{q}) - (\frac{q}{p}) = (\frac{q - p}{pq}) + (\frac{p^2 - q^2}{pq})
(\frac{q - p}{pq}) x (\frac{pq}{p^2q^2}) = (\frac{q - p}{p^2 q^2})
(\frac{-(p - q)}{(p + q)(p - q)})
= (\frac{-1}{p + q})
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