Factorise :
$(a - b)^{2} + 8 (a - b) + 15$

(a - b + 3) (a - b + 5)

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(a - 2 b + 3) (a + 7 b + 5)

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(a - b + 3) (a - 7 b + 4)

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(a - 2 b + 1) (a - b + 5)

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Solution

The correct option is C $(a - b + 3) (a - b + 5)$
$(a - b)^{2} + 8 (a - b) + 15$
$= (a - b)^{2} + 5 (a - b) + 3 (a - b) + 15$
$= (a - b) (a - b + 5) + 3 (a - b + 5)$
$= (a - b + 5) (a - b + 3)$

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