Addition of Algebraic Expression Examples

Example 1: Simplify and perform addition of below expression: (3x + 2y) + (5x – 3y)

Solution:

We have (3x + 2y) + (5x – 3y)

Combine and group like terms together

(3x + 5x) + (2y – 3y)

Perform operations within parentheses first.

(8x) + (-y)

Simplify the expression

8x – y

Example 2: Find the sum of the given expression : 2a²b – 3ab² + 4a²b + 5ab².

Solution:

We have 2a²b – 3ab² + 4a²b + 5ab²

Combine and group like terms

(2a²b + 4a²b) + (- 3ab² + 5ab²)

Perform operations within parentheses first.

(6a²b) + (2ab² )

Simplify the expression

6a²b + 2ab²

Example 3: Simplify and perform addition of the given expression: 7p²q – 2pq² + 3p²q – 4pq²

Solution:

Combine like terms by adding or subtracting their coefficients.

7p²q + 3p²q – 2pq² – 4pq²

Keep similar terms together while adding.

Perform operations within parentheses first.

= (7p²q + 3p²q )+ (- 2pq² – 4pq²)

= 10p²q – 6pq²

Example 4: Add the following algebraic expressions: x² + 2xy + y² + 3xy – 4x² – 2y²

Solution:

Combine like terms by adding or subtracting their coefficients.

=x² – 4x² + 2xy + 3xy + y² – 2y²

Keep similar terms together while adding.

Perform operations within parentheses first.

= (x² – 4x²) + (2xy + 3xy) + (y² – 2y²)

= -3x² + 5xy – y²

Algebraic expressions are mathematical phrases that can include numbers, variables, and operation symbols. The addition of algebraic expressions involves combining like terms to simplify the expression.

Addition of Algebraic Expression involves combining like terms of the given expression and then adding their numeral coefficients. We can add two or more algebraic expressions together. Adding algebraic expressions is a widely used concept in problem-solving.

In this article, we will discuss Addition of Algebraic Expression and different rules and methods to perform addition of algebraic expressions.