Question

Divide as directed : (m2 - 14 m - 32) = (m + 2)​

Answer 1

Answer:

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

Step-by-step explanation:

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

Therefore,

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

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Answer 2

$\large\underline{ \underline{ \sf \: Answer : \: \: \: }}$

$\to \sf (m - 16)$

$\large\underline{ \underline{ \sf \: Explaination : \: \: \: }}$

$\to \sf</p><p>\frac{ {m}^{2} - 14m - 32}{(m + 2)} \\ \\ \to \sf \frac{ {m}^{2} - 16m + 2m - 32}{(m + 2)} \\ \\ \to \sf \frac{ m(m - 16) + 2(m - 16)}{(m + 2)} \\ \\ \to \sf \frac{(m + 2)(m - 16)}{(m + 2)} \\ \\ \to \sf (m - 16)$