Answer
$(n-3)(n+9)$
Work Step by Step
The following pairs of numbers give a product of $
-27
:$
\begin{array}{l}\require{cancel}
\{ 1,-27 \}
\text{ }
\{ -1,27 \}
\text{ }
\{ 3,-9 \}
\text{ }
\{ -3,9 \}
.\end{array}
Of these pairs, the one which gives a sum of $
6
$ is the pair $\{
-3,9
\}.$
Hence, the factored form of the given expression, $
n^2+6n-27
$ is
\begin{array}{l}\require{cancel}
(n-3)(n+9)
.\end{array}
