Simplify \(\frac{4a^2 – 49b^2}{2a^2 – 5ab – 7b^2}\)
- \(\frac{a - b}{2a + b}\)
- \(\frac{2a + 7b}{a - b}\)
- \(\frac{2a - 7b}{a + b}\)
-
\(\frac{2a + 7b}{a + b}\)
The correct answer is: D
Explanation
\(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\) = \(\frac{(2a)^2 - (7b)^2}{(a + b)(2a - 7b)}\)
= \(\frac{(2a + 7b)(2a - 7b)}{(a + b)(2a - 7b)}\)
= \(\frac{2a + 7b}{a + b}\)