6n2+24n+18
Factor 6 out of 6n2.
6(n2)+24n+18
Factor 6 out of 24n.
6(n2)+6(4n)+18
Factor 6 out of 18.
6n2+6(4n)+6⋅3
Factor 6 out of 6n2+6(4n).
6(n2+4n)+6⋅3
Factor 6 out of 6(n2+4n)+6⋅3.
6(n2+4n+3)
6(n2+4n+3)
Factor n2+4n+3 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 3 and whose sum is 4.
1,3
Write the factored form using these integers.
6((n+1)(n+3))
6((n+1)(n+3))
Remove unnecessary parentheses.
6(n+1)(n+3)
6(n+1)(n+3)
Factor 6n^2+24n+18