The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined.
( 5w^3 + 3w^2 + 8w+ 2)+( 7w^2 + 3w+ 1)
In this case, we have one w^3-term, two w^2-terms, two w-terms, and two constants.
Only the w^3-term cannot be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.