Factorising and dividing $a^{2} + 7 a + 10$ by $(a + 5)$ gives:

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Solution

$a^{2} + 7 a + 10 = a^{2} + 5 a + 2 a + 10 = a (a + 5) + 2 (a + 5) = (a + 2) (a + 5) Dividing this by (a + 5) gives (a + 2) .$

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