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})
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})