Simplify \(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)
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Correct Answer: Option A
Explanation:
\(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)
= \(\frac{2m - u + m - 2u)(2m - u - m + 2u)}{5(m + u)(m - u)}\)
= \(\frac{3(m - u)(m + u)}{5(m + u)(m - u)}\)
= \(\frac{3}{5}\)
\(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)
= \(\frac{2m - u + m - 2u)(2m - u - m + 2u)}{5(m + u)(m - u)}\)
= \(\frac{3(m - u)(m + u)}{5(m + u)(m - u)}\)
= \(\frac{3}{5}\)