Algebraic expressions contain alphabetic symbols as well as numbers.
When an algebraic expression is simplified, an equivalent expression is found that is simpler than the original.The simplified expression is smaller than the original.
The given Algebraic expression is
![x^(3) +3x^(2) +2x - 6 x^(2) -18x-12](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5rmqudmj07vi1f4c5fvh6vr71sohn7i10t.png)
In algebra, like terms are terms that have the same variables and powers.Like terms can be added or subtracted.
The like terms in the given expression are:
,+2x and -18x.
![3 x^(2) - 6x^(2) = -3 x^(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wpbgl89tdgsaz0wyp78d1yteq2zdggtaiy.png)
+2x-18x=-16x.
The given expression reduces to:
![x^(3) - 3 x^(2) -16x -12](https://img.qammunity.org/2019/formulas/mathematics/middle-school/o71zqwqvb7pzoxtky9xddbbbcq28l65moy.png)