Factorise $a^{2} - 5 a + 6$

(a + 3) (a + 2)

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(a - 3) (a + 2)

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(a - 1) (a - 6)

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(a - 3) (a - 2)

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Solution

The correct option is D $(a - 3) (a - 2)$
Factorizing $a^{2} - 5 a + 6$
Splitting the middle term:
$a^{2} - 5 a + 6 = a^{2} - 3 a - 2 a + 6$
$= a (a - 3) - 2 (a - 3) = (a - 3) (a - 2)$
Hence, option D is correct.

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