# Simplify Algebraic Expressions Calculator

Use * to indicate multiplication between coefficients and variables. For example, write 4*x+5*x, instead of 4x+5x.

**Answer:**

**Examples:**

- To write 2
*x*+3*x*, enter 2*x+3*x. - To write \(\frac{2}{3}x+\frac{4}{3}x\), enter 2/3*x+4/3*x.
- To write \(\frac{2}{3x}+\frac{4}{3x}\), enter 2/(3*x)+4/(3*x).
- To write \(\frac{2x+3x+5x^2}{x+x^2+4x}\), enter (2*x+3*x+5*x^2)/(x+x^2+4*x).

With this calculator, you can simplify a large number of algebraic expressions. You can simplify linear expressions, polynomials, fractional or rational expressions, among others.

## How to use the calculator to simplify algebraic expressions?

**Step 1:** Enter the algebraic expression in the corresponding box. The * sign must be used to indicate multiplication between variables and coefficients. For example, instead of entering 2x+3x, enter 2*x+3*x.

**Step 2:** Click “Simplify” to get a simplified version of the entered expression.

**Step 3:** The solution will be displayed at the bottom of the calculator. If the solution is not displayed, the expression was probably not entered correctly.

## How to enter algebraic expressions in the calculator?

To enter algebraic expressions, we have to use the * sign to indicate multiplication, especially between coefficients and variables. Also, we have to use the ^ sign to indicate an exponent. The following are some examples of how to enter expressions:

- To enter, \(3x^2+3x+4x^2 \), write 3*x^2+3*x+4*x^2.
- To enter, \(\frac{1}{3}x^2+\frac{3}{2}x+\frac{1}{4}x^2 \), write 1/3*x^2+3/2*x+1/4*x^2.
- To enter, \(\frac{1}{3x^2}+\frac{1}{3x}+\frac{1}{4x^2}\), write 1/(3*x^2)+1/(3*x)+1/(4*x^2).

The use of parentheses is recommended to write the expression properly. For example, the expression \(\frac{1}{3x^2}\) should be written 1/(3*x^2) to indicate that the entire expression inside the parentheses goes in the denominator of the fraction.

## How to simplify algebraic expressions?

Simplifying algebraic expressions means writing this expression in its simplest possible form. To simplify algebraic expressions, we can use the distributive property to remove parentheses or other grouping signs to then combine like terms.

For example, to simplify the expression \( 2x(x+3)-2x+2 \), we have to start by using the distributive property to remove the parentheses: \( 2{{x}^2}+6x-2x+2 \). Then, we combine the like terms, that is, the terms that have the same variable raised to the same power: \( 2{{x}^2}+4x+2\).

We can also simplify algebraic expressions by factoring and solving all applicable operations, especially multiplication and division.

If you want to learn more about simplifying algebraic expressions, visit our article.

## Why simplify algebraic expressions?

By simplifying algebraic expressions, we can obtain the simplest version of the given expression and thus facilitate the resolution of operations with these expressions. When we perform operations such as addition, multiplication, or others with expressions that are not simplified, the process can be longer.

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