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Section Like-Terms
Terms are called like-terms if they have identical variable parts. That is, they differ only by a coefficient. like-terms can be combined via addition and subtraction. For example, the \(x^2\) and \(e^{-3x}\) terms below are pairs of like-terms, which can be combined as follows:
\begin{gather*}
\underline{3x^2} + \underline{\underline{5e^{-3x}}} - 2 + \underline{7x^2} - \underline{\underline{4e^{-3x}}}\\
\underline{10x^2} + \underline{\underline{e^{-3x}}} - 2 \text{.}
\end{gather*}
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