How to Add and Subtract Algebraic Expressions?


How to Add algebraic expressions?

Only like terms of algebraic expressions can be added.

To add two like terms, add the coefficients and retain the variables in the result. For example,

7𝑥𝑧3 𝑎𝑛𝑑 8𝑥𝑧3 are two like terms. They can be added as follows:

7x𝑧3 + 8x𝑧3 = 15x𝑧2

How to subtract algebraic expressions?

Only like terms of algebraic expressions can be subtracted.

To find the difference between two like terms, subtract the coefficients and retain the variables in the result.

For example,

21a𝑏2 and 6a𝑏2 are two like terms. They can be subtracted as follows:

21a𝑏2 − 6a𝑏2 = (21 − 6)a𝑏2 = 15a𝑏2

Summary

Addition and Subtraction of Algebraic Expressions
  • Only like terms can be added or subtracted
  • Coefficients added or subtracted, and variables retained