If m : n = 2 : 1, evaluate \(\frac{3m^2 - 2n^2}{m^2 + mn}\)
A
\(\frac{4}{3}\)
B
\(\frac{5}{3}\)
C
\(\frac{3}{4}\)
D
\(\frac{3}{5}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
m = 2, n = 1
\(\frac{3m^2 - 2n^2}{m^2 _ mn}\)
= \(\frac{3(2)^2 - 2(1)^2}{2^2 + 2(1)}\)
= \(\frac{12 - 2}{4 + 2} = \frac{10}{6}\)
= \(\frac{5}{3}\)
Source: Myschool Past Questions Archive (Record #57161)