If m : n = 2 : 1, evaluate \(\frac{3m^2 – 2n^2}{m^2 + mn}\)
- \(\frac{4}{3}\)
-
\(\frac{5}{3}\)
- \(\frac{3}{4}\)
- \(\frac{3}{5}\)
The correct answer is: B
Explanation
m = 2, n = 1
\(\frac{3m^2 - 2n^2}{m^2 _ mn}\)
= \(\frac{3(2)^2 - 2(1)^2}{2^2 + 2(1)}\)
= \(\frac{12 - 2}{4 + 2} = \frac{10}{6}\)
= \(\frac{5}{3}\)