Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)

Simplify \(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)

A \(\frac{1}{2}\)
B p - 2r
C \(\frac{1}{p - 2r}\)
D \(\frac{2p}{p - 2r}\)

waec 2016 mathematics

The correct answer is A. \(\frac{1}{2}\)

\(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)

= \(\frac{(p - r)(p - r) - r^2}{2p^2 - 4pr}\)\

= \(\frac{p^2 - 2pr + r^2 - r^2}{2p(p - 2r}\)

= \(\frac{p^2 - 2pr}{2p(p - 2r)}\)

= \(\frac{p(p - 2r)}{2p(p - 2r)}\)

= \(\frac{1}{2}\)

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