Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)
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Correct Answer: Option D
Explanation:
\(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\) = \(\frac{(2a)^2 - (7b)^2}{(a - b)(2a + 7b)}\)
= \(\frac{(2a + 7b)(2a - 7b)}{(a - b)(2a + 7b)}\)
= \(\frac{2a - 7b}{a - b}\)
\(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\) = \(\frac{(2a)^2 - (7b)^2}{(a - b)(2a + 7b)}\)
= \(\frac{(2a + 7b)(2a - 7b)}{(a - b)(2a + 7b)}\)
= \(\frac{2a - 7b}{a - b}\)