Question 541894
Your problem:

{{{8w^5+12w^2-10w^3-15}}}

Reorder the problem:

{{{8w^5-10w^3+12w^2-15}}}

Group

{{{8^5-10w^3}}} and {{{12w^2-15}}}

Factor each group:

{{{2w^3(4w^2-5)}}} and {{{3(4w^2-5)}}}

we can factor out (4w^2-5) leaving us with

{{{(2w^3+3)(4w^2-5)}}}