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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. \(\frac{3}{5}\)
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Correct Answer: Option B
Explanation

m = 2, n = 1

\(\frac{3m^2 - 2n^2}{m^2 _ mn}\)

= \(\frac{3(2)^2 - 2(1)^2}{2^2 + 2(1)}\)

= \(\frac{12 - 2}{4 + 2} = \frac{10}{6}\)

= \(\frac{5}{3}\)


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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709