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Find the coefficient of m in the expression of ... - WAEC Mathematics 2012 Question

Find the coefficient of m in the expression of ((\frac{m}{2} - 1 \frac{1}{2})) (m + (\frac{2}{3}))

A
-\(\frac{1}{6}\)
B
- \(\frac{1}{2}\)
C
-1
D
-1\(\frac{1}{6}\)
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Correct Option: D

((\frac{m}{2} - 1\frac{1}{4}))(m + (\frac{2}{3}))

((\frac{m}{2} - \frac{3}{2}))((\frac{m}{1} + \frac{2}{3}))

= (\frac{m^2}{3} + \frac{3m}{6} - \frac{6}{6})

= (\frac{2m - 9m}{6})

= (\frac{-7m}{6})

= 1(\frac{1}{6})

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