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Factors of a³ + b³

Divide : m3-...

Question

Divide :
$\frac{m^{3} - 14 m^{2} + 37 m - 26}{m^{2} - 12 m + 13}$

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Solution

Given,

$\frac{m^{3} - 14 m^{2} + 37 m - 26}{m^{2} - 12 m + 13}$

we have factors given by,

$m^{3} - 14 m^{2} + 37 m - 26 = (m - 2) (m^{2} - 12 m + 13)$

$= \frac{(m - 2) (m^{2} - 12 m + 13)}{m^{2} - 12 m + 13}$

$= m - 2$

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