Question

Factorise the following expressions ×
$x { + 12x + 27}^{2}$
​

Answer 1

Answer:

$\boxed{\sf (x + 9)(x + 3)}$

Step-by-step explanation:

$\sf Factor \: the \: following: \\ \sf \implies {x}^{2} + 12x + 27 \\ \\ \sf The \: factors \: of \: 27 \: that \: sum \: to \: 12 \\ \sf are \: 9 \: and \: 3. \\ \\ \sf So, \\ \sf \implies {x}^{2} + (9 + 3)x + 27 \\ \\ \sf \implies {x}^{2} + 9x + 3x + 27 \\ \\ \sf \implies x(x + 9) + 3(x + 9) \\ \\ \sf \implies (x + 9)(x + 3)$