Addition of Algebraic Expressions: Addition of two or more algebraic expressions is a combination of like terms. Like terms are terms with the same variable...
Addition of Algebraic Expressions:
Addition of two or more algebraic expressions is a combination of like terms. Like terms are terms with the same variables raised to the same powers. To add expressions with like terms, we simply add the coefficients and retain the variable's exponent. For example:
(x + 2) + (x + 3) = 2x + 5
Subtraction of Algebraic Expressions:
Subtraction is the inverse of addition, where we combine like terms and remove them. Similar to addition, like terms are terms with the same variables raised to the same powers. To subtract expressions with like terms, we subtract the coefficients and retain the variable's exponent.
For example:
(x - 2) - (x - 3) = x - 5
Additional Points:
In addition to like terms, we can also add or subtract expressions with different variables as long as the variables have the same exponents.
Distributive property allows us to combine like terms when adding or subtracting expressions. For example:
(x + 3)(x - 2) = x^2 - 2x + 3x - 6
Examples:
Addition:
(x + 4) + (x + 3) = 2x + 7
Subtraction:
(x - 1) - (x - 4) = 5