Answer
3(2s+3)(s+8)
Work Step by Step
You are given $6s^{2}$+57s+72. Factor it out:
3($2s^{2}$+19s+24) -factor out the common factor of 2-
3($2s^{2}$+16s+3s+24) -break out the middle value-
3($2s^{2}$+16s)(3s+24) -group the first two and last two terms-
3(2s(s+8)+3(vs+8) -Find the GCF of each grouping's-
3(s+8)(2s+3) -factor out the common term-
=3(2s+3)(s+8)