Factorise (i) 5xy + 5x + 4y + 4 (ii) 3ab + 3a + 2b + 2.

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Solution

$(i) 5 x y + 5 x + 4 y + 4 = 5 x (y + 1) + 4 (y + 1)$
$= (5 x + 4) (y + 1)$
$(i i) 3 a b + 3 a + 2 b + 2 = 3 a (b + 1) + 2 (b + 1)$
$= (3 a + 2) (b + 1)$

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