# Algebraic Expressions Calculator

#### Solution:

This calculator allows us to perform various operations with algebraic expressions. We can add, subtract, multiply and divide expressions.

## How to use the algebraic expressions calculator?

**Step 1:** Enter the operation of algebraic expressions in the input box.

** Step 2:** Click “Solve” to perform the operations.

** Step 3:** The solution will be shown in its simplest form.

## Frequently Asked Questions about Operations with Algebraic Expressions

### What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations. In turn, variables are ways of representing unknown values.

### What are the basic operations that can be performed with algebraic expressions?

The basic operations that can be performed with algebraic expressions are addition, subtraction, multiplication, and division.

### Can algebraic expressions be simplified?

Yes, algebraic expressions can be simplified by using the rules of algebra to combine like terms and eliminate unnecessary elements, such as parentheses or other grouping signs.

Simplifying an algebraic expression can make it easier to evaluate or solve problems involving the algebraic expression.

### How do you add or subtract algebraic expressions?

To add or subtract algebraic expressions, you have to combine like terms. This means finding terms that have the same variable and exponent and adding or subtracting their coefficients.

For example, to add the expressions “3x^2” and “5x^2”, you would combine the like terms to get “8x^2”.

### How do you multiply algebraic expressions?

To multiply algebraic expressions, you have to apply the distributive property. This means multiplying each term of one expression by each term of the other expression, and then combining like terms.

For example, to multiply the expressions “2x+3” and “3y”, you would first multiply the terms “2x” and “3y” to get “6xy”, and then multiply the terms “3” and “3y” to get “9y”.

### How are algebraic expressions divided?

To divide algebraic expressions, it is necessary to use the polynomial long division process. This involves dividing the numerator expression by the denominator expression, following the same steps as in long division with numbers.

The result is the quotient expression, with any remainder written as a separate expression.

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