What is the addition and subtraction …

Example:

Add 5xy – 3x² – 12y +5x, xy – 3x – 12yz +5x³ and y – 6x² – zy +5x³

Solution:

For adding these three algebraic expressions the like terms are grouped together and added as shown below.

Arrange the terms of the given expressions in the same order.

Subtraction of Algebraic Expressions

For subtracting two or more algebraic expressions, it’s a better practice to write the expressions to be subtracted below the expression from which it is to be subtracted from. Like terms are placed below each other. The sign of each term which is to be subtracted is reversed and then the resulting expression is added normally.

Example:

Subtract x²y –2x² -zy + 5 and –3x² +3x³ from y³ +3x²y –6x² -6zy +7x³                                          

Solution:

The like terms of the expressions x²y – 2x² – zy + 5 and – 3x² + 3x³ are written below the like terms of the expression y³ +3x²y – 6x² – 6zy + 7x³.

For adding two or more algebraic expression the like terms of both the expressions are grouped together. The coefficients of like terms are added together using simple addition techniques and the variable which is common is retained as it is. The, unlike terms, are retained as it is and the result obtained is the addition of two or more algebraic expressions.

Example:

Add 5xy – 3x² – 12y +5x, xy – 3x – 12yz +5x³ and y – 6x² – zy +5x³

Solution:

For adding these three algebraic expressions the like terms are grouped together and added as shown below.

For subtracting two or more algebraic expressions, it’s a better practice to write the expressions to be subtracted below the expression from which it is to be subtracted from. Like terms are placed below each other. The sign of each term which is to be subtracted is reversed and then the resulting expression is added normally.

Example:

Subtract x²y –2x² -zy + 5 and –3x² +3x³ from y³ +3x²y –6x² -6zy +7x³                                          

Solution:

The like terms of the expressions x²y – 2x² – zy + 5 and – 3x² + 3x³ are written below the like terms of the expression y³ +3x²y – 6x² – 6zy + 7x³.