Simplify \(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)
A
\(\frac{3}{5}\)
B
\(\frac{2}{5}\)
C
\(\frac{2m - u}{5m + u}\)
D
\(\frac{m - 2u}{m + 5u}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)
= \(\frac{2m - u + m - 2u)(2m - u - m + 2u)}{5(m + u)(m - u)}\)
= \(\frac{3(m - u)(m + u)}{5(m + u)(m - u)}\)
= \(\frac{3}{5}\)
Source: Myschool Past Questions Archive (Record #31006)