Factorise: 3 y^2+14 y+8 - Vidyadip

Question

Factorise: $3 y^2+14 y+8$

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Answer

$3 y^2+14 y+8$
$=3 y^2+12 y+2 y+8$
${24 = 3 × 8, 24 = 12 × 2, 14 = 12 + 2}$
$= 3y(y + 4) + 2(y + 4) $
$= (y + 4)(3y + 2)$

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