Factorise: z^2-12 z-45 - Vidyadip

Question

Factorise: $z^2-12 z-45$

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Answer

$z^2-12 z-45$
$=z^2-15 z+3 z-45$
${-45 = -15 × 3, -12 = -15 + 3}$
$= z(z - 15) + 3(z - 15) $
$= (z - 15)(z + 3)$

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