Simplify 1p 1 p - 1q 1 q + pq p q - qp

Question 1 Report

Simplify $\frac{1}{p}$ - $\frac{1}{q}$ + $\frac{p}{q}$ - $\frac{q}{p}$

\frac{1}{p - q}

\frac{- 1}{p + q}

\frac{1}{p q}

\frac{1}{p q (p - q)}

Answer Details

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

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