# Solve: 3n^2-15n+18

Solve:
$3{n}^{2}-15n+18$
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Frederick Espinoza
Here given:
$3{n}^{2}-15n+18\phantom{\rule{0ex}{0ex}}=3{n}^{2}-6n-9n+18\phantom{\rule{0ex}{0ex}}=3n\left(n-2\right)-9\left(n-2\right)\phantom{\rule{0ex}{0ex}}=\left(n-2\right)\left(3n-9\right)\phantom{\rule{0ex}{0ex}}=3\left(n-2\right)\left(n-3\right)$
Therefore required factorized form is
$=3\left(n-2\right)\left(n-3\right)$