Simplify frac p - r 2 - r 2 2p 2 - 4pr - WAEC Mathematics 2016 Question
Simplify (\frac{(p - r)^2 - r^2}{2p^2 - 4pr})
A
\(\frac{1}{2}\)
B
p - 2r
C
\(\frac{1}{p - 2r}\)
D
\(\frac{2p}{p - 2r}\)
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Correct Option: A
(\frac{(p - r)^2 - r^2}{2p^2 - 4pr})
= (\frac{(p - r)(p - r) - r^2}{2p^2 - 4pr})<br />
= (\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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