If m : n = 2 : 1, evaluate \(\frac{3m^2 - 2n^2}{m^2 + mn}\)
MATHEMATICS
WAEC 2019
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. \(\frac{3}{5}\)
Correct Answer: B. \(\frac{5}{3}\)
Explanation
m = 2, n = 1
\(\frac{3m^2 - 2n^2}{m^2 _ mn}\)
= \(\frac{3(2)^2 - 2(1)^2}{2^2 + 2(1)}\)
= \(\frac{12 - 2}{4 + 2} = \frac{10}{6}\)
= \(\frac{5}{3}\)
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