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})
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})