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Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)

Mathematics
JAMB 1988

Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)

  • A. \(\frac{a - b}{2a + b}\)
  • B. \(\frac{2a + 7b}{a - b}\)
  • C. \(\frac{2a - 7b}{a + b}\)
  • D. \(\frac{2a + 7b}{a + b}\)
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Correct Answer: Option D
Explanation

\(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\) = \(\frac{(2a)^2 - (7b)^2}{(a + b)(2a - 7b)}\)

= \(\frac{(2a + 7b)(2a - 7b)}{(a + b)(2a - 7b)}\)

= \(\frac{2a + 7b}{a + b}\)


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