Simplify \(\frac{(p – r)^2 – r^2}{2p^2 – 4pr}\)
-
\(\frac{1}{2}\)
- p - 2r
- \(\frac{1}{p - 2r}\)
- \(\frac{2p}{p - 2r}\)
The correct answer is: A
Explanation
\(\frac{(p - r)^2 - r^2}{2p^2 - 4pr}\)= \(\frac{(p - r)(p - r) - r^2}{2p^2 - 4pr}\)\
= \(\frac{p^2 - 2pr + r^2 - r^2}{2p(p - 2r}\)
= \(\frac{p^2 - 2pr}{2p(p - 2r)}\)
= \(\frac{p(p - 2r)}{2p(p - 2r)}\)
= \(\frac{1}{2}\)