Question
Factorise:
$z^2+12 x+27$
$z^2+12 x+27$
✓
Answer
$z^2+12 x+27$
$=z^2+9 z+3 z+27$
$\{27=9 \times 3,12=9+3\}$
$=z(z+9)+3(z+9)$
$=(z+9)(z+3)$
$=z^2+9 z+3 z+27$
$\{27=9 \times 3,12=9+3\}$
$=z(z+9)+3(z+9)$
$=(z+9)(z+3)$
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