Factorise: z^2+12 x+27 - Vidyadip

Question

Factorise:
$z^2+12 x+27$

✓

Answer

$z^2+12 x+27$
$=z^2+9 z+3 z+27$
$\{27 = 9 × 3, 12 = 9 + 3\} $
$= z(z + 9) + 3(z + 9) $
$= (z + 9)(z + 3)$

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