91Ó°ÊÓ

When dealing with algebraic expressions, identifying like terms is essential. Like terms are terms that contain the same variable raised to the same power. For instance, if you have the terms \( 27c \) and \( -27c \), both contain the variable \( c \) and are therefore like terms. In our exercise, we had the expression, \( 27c + 16 - 27c \). Notice that the terms \( 27c \) and \( -27c \) are like terms because they contain the same variable.

Identifying like terms correctly helps lay the foundation for further simplification. Without spotting them, you can make errors in combining them correctly. To practice, look at various expressions and try to group like terms together on your own.

Combining like terms involves adding or subtracting coefficients of the same variable. Once you've identified the like terms in an expression, it's time to combine them. In our problem, the like terms are \( 27c \) and \( -27c \). To combine these, you add their coefficients together: \ 27c - 27c = 0. Thus, combining these like terms resulted in zero.

Remember to perform operations only with the coefficients and keep the variable part intact. This step significantly simplifies the expression, making other operations straightforward. Practice combining like terms in various expressions to strengthen your understanding of this crucial topic.

The last step in simplifying an algebraic expression is dealing with the constants. Once all like terms have been combined, you often end up with terms without variables, known as constants. In our case, after combining the like terms, we were left with \( 0 + 16 \). This simplifies directly to \( 16 \).

Constant terms are straightforward since they don’t involve variables, but simplifying them correctly brings you to the final answer. Ensure that arithmetic operations on constants are performed step-by-step to avoid mistakes. With practice, simplifying constants will become a quick and intuitive part of your algebra toolkit.