Question
Factorise the following:$5(3x + y)^2 + 6(3x + y) - 8$
✓
Answer
$5(3x + y)^2 + 6(3x + y) - 8$
$= 5(3x + y)^2 + 10(3x + y) - 4(3x + y) - 8$
$= 5(3x + y)(3x + y + 2) - 4(3x + y + 2)$
$= (3x + y + 2)[5(3x + y) - 4].$
$= 5(3x + y)^2 + 10(3x + y) - 4(3x + y) - 8$
$= 5(3x + y)(3x + y + 2) - 4(3x + y + 2)$
$= (3x + y + 2)[5(3x + y) - 4].$
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