Simplifying expressions is a process of combining like terms and removing parentheses to get a simpler form of an expression. It is an important concept in algebra, and can be used to solve equations and to solve problems. In this article, we will take a look at what it means to simplify an expression and how to do it.
What Is The Simplified Form Of The Following Expression?
The simplified form of an expression is the expression written in its simplest form. This means that all like terms have been combined and all parentheses have been removed. To simplify an expression, you need to look for terms that can be combined, then remove any parentheses that are in the expression.
How To Simplify An Expression?
Simplifying an expression is done by following a few basic steps. First, you need to combine any like terms. To combine like terms, you need to add or subtract any terms that are the same. For example, if you have the expression “3x + 5x”, you can combine the terms to get “8x”. Then, you can remove any parentheses that are in the expression. Finally, you can simplify any fractions, if there are any, by using the greatest common factor.
Examples Of Simplifying An Expression
Let’s look at a few examples of simplifying an expression. In the first example, we have the expression “3x + 5x + (2x – 1)”. To simplify this expression, we need to first combine the like terms. We have three terms with an “x”, so we can combine them to get “10x”. Then, we need to remove the parentheses. We can do this by subtracting the “1” from the “2x” to get “2x – 1”. Finally, we can simplify the expression to get “10x – 1”.
In the second example, we have the expression “3x/2 + 4x/3”. To simplify this expression, we need to first find the greatest common factor of the two fractions. In this case, the greatest common factor is “2”. We can then simplify the expression by dividing both fractions by the greatest common factor to get “3x/2 + 2x/3”. Finally, we can combine the like terms to get “5x/2”.
People Also Ask
What Is The Difference Between Simplifying And Evaluating An Expression?
The difference between simplifying and evaluating an expression is that simplifying an expression means rewriting the expression in its simplest form, while evaluating an expression means finding the numerical value of the expression.
How Do You Simplify An Expression With Exponents?
To simplify an expression with exponents, you need to look for like terms and combine them. For example, if you have the expression “2x2 + 4x2”, you can combine the terms to get “6x2”. Then, you can remove any parentheses that are in the expression.
How Do You Simplify An Expression With Variables?
To simplify an expression with variables, you need to look for like terms and combine them. For example, if you have the expression “3a + 5a + 2b”, you can combine the terms to get “8a + 2b”. Then, you can remove any parentheses that are in the expression.
How Do You Simplify An Expression With Fractions?
To simplify an expression with fractions, you need to find the greatest common factor of the fractions and then divide both fractions by the greatest common factor. For example, if you have the expression “3x/2 + 4x/3”, you can find the greatest common factor of the two fractions to be “2”. Then, you can divide both fractions by the greatest common factor to get “3x/2 + 2x/3”. Finally, you can combine the like terms to get “5x/2”.
Simplifying expressions is a fundamental concept in algebra, and is used to solve equations and problems. To simplify an expression, you need to look for like terms and combine them, then remove any parentheses that are in the expression. You also need to simplify any fractions, if there are any, by using the greatest common factor. Hopefully, this article has helped you to understand what it means to simplify an expression and how to do it.