# How do you factor 12x²-27?

$12 {x}^{2} - 27 = 3 \left(4 {x}^{2} - 9\right)$
$= 3 \left({\left(2 x\right)}^{2} - {3}^{2}\right) = 3 \left(2 x - 3\right) \left(2 x + 3\right)$
${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$