Simplify the expression.$9c^2-4c^2+2c^2$

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constantterm is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Distributive property:$a(b+c)=a\cdot b+a\cdot c$

To simplify the given expression $9c^2-4c^2+2c^2$, observe that all the terms are like terms as they have same variable with similar exponent over it. So, combine the terms to get the simplified expression.

To simplify given expression further, group the like terms and combine them as shown below

$\begin{array}{c}9c^2-4c^2+2c^2=(9-4+2)c^2\\ =(5+2)c^2\\ =7c^2\end{array}$

Thus, the simplified expression is$7c^2$