2.11 Add and subtract like terms CN9 Combine any like terms in the expression. If there are no like terms, rewrite the \( 37 v^{3} w^{3}+21 v^{3} w^{3}+4 v^{3} w^{3}-19 v^{3} w^{3} \) C

To combine the like terms in the expression \( 37 v^{3} w^{3}+21 v^{3} w^{3}+4 v^{3} w^{3}-19 v^{3} w^{3} \), simply add and subtract the coefficients of \( v^{3} w^{3} \). This gives: \( (37 + 21 + 4 - 19)v^{3} w^{3} = 43 v^{3} w^{3} \). So the simplified expression is \( 43 v^{3} w^{3} \). Think of like terms as your itemized shopping list: each group with the same label can be combined so you know exactly how much of each item you have! In this case, all terms share \( v^{3} w^{3} \) as their "label," which makes collecting them easy peasy. If you’ve ever tried to keep track of your budget with various spending categories, you know the importance of combining like terms. Just like rounding up all those coffee purchases into one total, combining like terms simplifies your expression and makes it easier to manage—just don't forget to keep track of any negatives!