Question 5(ii)
Factorise the expressions and divide them as directed
$(m^{2} - 14 m - 32) \div (m + 2)$

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Solution

$m^{2} - 14 m - 32 = m^{2} + 2 m - 16 m - 32 m (m + 2) - 16 (m + 2) = (m + 2) (m - 16) (m^{2} - 14 m - 32) \div (m + 2) = \frac{(m + 2) (m - 16)}{(m + 2)} = m - 16$

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