Factor 6x^2+48x+72

$6 x^{2} + 48 x + 72$

Step 1

Factor $6$ out of $6 x^{2} + 48 x + 72$ .

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

$6 (x^{2}) + 48 x + 72$

Factor $6$ out of $48 x$ .

$6 (x^{2}) + 6 (8 x) + 72$

Factor $6$ out of $72$ .

$6 x^{2} + 6 (8 x) + 6 \cdot 12$

Factor $6$ out of $6 x^{2} + 6 (8 x)$ .

$6 (x^{2} + 8 x) + 6 \cdot 12$

Factor $6$ out of $6 (x^{2} + 8 x) + 6 \cdot 12$ .

$6 (x^{2} + 8 x + 12)$

Step 2

Factor.

Factor $x^{2} + 8 x + 12$ 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 $12$ and whose sum is $8$ .

$2, 6$

Write the factored form using these integers.

$6 ((x + 2) (x + 6))$

Remove unnecessary parentheses.

$6 (x + 2) (x + 6)$

Factor 6x^2+48x+72

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