What is this Expression in Simplest Form? – A Comprehensive Guide
What does it mean to simplify an expression?
Simplifying an expression means to reduce it to its most basic form. This is done by combining like terms, removing unnecessary parentheses, and reducing fractions to their lowest terms. The simplest form of an expression is the one that cannot be simplified any further.
Steps to simplify an expression in the simplest form
- Combine like terms: Look for terms that have the same variable and exponent and combine them.
- Remove parentheses: Use the distributive property to remove parentheses.
- Reduce fractions: Divide the numerator and denominator by their greatest common factor to reduce fractions to their lowest terms.
- Check for any remaining like terms: Repeat step 1 until there are no more like terms to combine.
- Check for any remaining parentheses: Repeat step 2 until there are no more parentheses to remove.
- Check for any remaining fractions: Repeat step 3 until there are no more fractions to reduce.
Examples of simplifying expressions in the simplest form
Example 1: Simplify 3x + 2x – 5
- Combine like terms: 3x + 2x = 5x
- Check for any remaining like terms: None
- The simplest form of the expression is 5x – 5.
Example 2: Simplify 2(3x + 4) – 5(2x – 3)
- Remove parentheses: 2(3x) + 2(4) – 5(2x) + 5(3) = 6x + 8 – 10x + 15
- Combine like terms: 6x – 10x = -4x, 8 + 15 = 23
- Check for any remaining like terms: None
- The simplest form of the expression is -4x + 23.
Example 3: Simplify (2x^2 + 4x) / 2
- Reduce fractions: (2x^2 / 2) + (4x / 2) = x^2 + 2x
- Check for any remaining fractions: None
- Check for any remaining like terms: None
- The simplest form of the expression is x^2 + 2x.
Conclusion
Simplifying an expression in the simplest form is an important skill in algebra. By following the steps outlined in this guide, you can simplify any expression to its most basic form. Remember to always check for like terms, parentheses, and fractions, and to reduce them as much as possible. With practice, you will become proficient in simplifying expressions and be able to tackle more complex problems.
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1.Simplify Calculator – Mathway
- Publish: 17 days ago
- Rating: 3(1156 Rating)
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- Descriptions: The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it’s simplest form.
- Source : https://www.mathway.com/Calculator/simplify-calculator
2.Which expression is in simplest form? – Brainly.com
- Publish: 26 days ago
- Rating: 5(1662 Rating)
- Highest rating: 3
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- Descriptions: The simplest form is 2x²√7y. To know more about algebraic expression refer to : brainly.com/question/4541471. #SPJ2.
- Source : https://brainly.com/question/21527775
3.How Do You Put an Expression in Simplest Form? – YouTube
- Publish: 26 days ago
- Rating: 3(786 Rating)
- Highest rating: 3
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- Source : https://www.youtube.com/watch%3Fv%3D9liJzjlk06M
4.What is Simplest Form? | Virtual Nerd
- Publish: 4 days ago
- Rating: 1(1237 Rating)
- Highest rating: 4
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- Descriptions: An expression is just a mathematical phrase. In this tutorial, you’ll learn about two popular types of expressions: numerical and algebraic expressions. A …
- Source : https://virtualnerd.com/algebra-1/algebra-foundations/simplifying-expressions/simplifying-expressions-examples/simplest-form-definition
5.Simplest Form (algebra) Definition (Illustrated Mathematics Dictionary)
- Publish: 26 days ago
- Rating: 4(495 Rating)
- Highest rating: 3
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- Descriptions: In general, an expression is in simplest form when it is easiest to use. Example, this: 5x + x − 3. Is simpler as: 6x − 3
- Source : https://www.mathsisfun.com/definitions/simplest-form-algebra-.html
6.Simplest Form Algebra | Definition & Meaning
- Publish: 19 days ago
- Rating: 4(1550 Rating)
- Highest rating: 4
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- Descriptions: The simplest form of an algebraic expression is when it cannot be simplified further. The expression is straightforward and easy to use.
- Source : https://www.storyofmathematics.com/glossary/simplest-form-algebra/
7.How do you know an algebraic expression is in its simplest form?
- Publish: 9 days ago
- Rating: 3(241 Rating)
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- Descriptions: (X^2 – Y^2)/(X + Y) = (X – Y), which is the simplest form of this expression. You can use different laws and rules in Mathematics to check and cross-refer to …
- Source : https://www.quora.com/How-do-you-know-an-algebraic-expression-is-in-its-simplest-form
8.What is this expression in simplest form? frac x2+ – Gauthmath
- Publish: 21 days ago
- Rating: 2(241 Rating)
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- Descriptions: YES! We solved the question! Check the full answer on App Gauthmath. Get the Gauthmath App. What is this expression in simplest form? frac x2+x-2×3-x2.
- Source : https://www.gauthmath.com/solution/What-is-this-expression-in-simplest-form-frac-x-2-x-2-x-3-x-2-2x-2-A-frac-x-1-x–1710619822161926
9.Solved What is this expression in simplest form? 2:2 ОА. 45 – Chegg
- Publish: 6 days ago
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- Descriptions: Answer to Solved What is this expression in simplest form? 2:2 ОА. 45.
- Source : https://www.chegg.com/homework-help/questions-and-answers/expression-simplest-form-2-2–45-7-2013-2-4-9-21-1-2–oc-2015-2-od-20-2-q65459719
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