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Simplify \(\frac{(2m - u)^2 - (m - 2u)^2}{5m^2 - 5u^2}\)

Mathematics
JAMB 1994

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

= \(\frac{2m - u + m - 2u)(2m - u - m + 2u)}{5(m + u)(m - u)}\)

= \(\frac{3(m - u)(m + u)}{5(m + u)(m - u)}\)

= \(\frac{3}{5}\)

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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