Factor 6n^2+72n+192

$6 n^{2} + 72 n + 192$

Factor $6$ out of $6 n^{2} + 72 n + 192$ .

Factor $6$ out of $6 n^{2}$ .

$6 (n^{2}) + 72 n + 192$

Factor $6$ out of $72 n$ .

$6 (n^{2}) + 6 (12 n) + 192$

Factor $6$ out of $192$ .

$6 n^{2} + 6 (12 n) + 6 \cdot 32$

Factor $6$ out of $6 n^{2} + 6 (12 n)$ .

$6 (n^{2} + 12 n) + 6 \cdot 32$

Factor $6$ out of $6 (n^{2} + 12 n) + 6 \cdot 32$ .

$6 (n^{2} + 12 n + 32)$

Factor.

Factor $n^{2} + 12 n + 32$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $32$ and whose sum is $12$ .

$4, 8$

Write the factored form using these integers.

$6 ((n + 4) (n + 8))$

Remove unnecessary parentheses.

$6 (n + 4) (n + 8)$

Factor 6n^2+72n+192

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