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Simplifying Expressions: How to Simplifying Algebraic Expressions with Examples and Tricks

Simplifying Expressions: Get the complete guide on Simplifying Expressions and the tricks to Simplifying Algebraic Expressions. An algebraic expression is a mathematical phrase with variables and constants, If you wish to be an expert in simplifying expressions then read the article to know how to simplify algebraic expressions with examples.

by Niranjani Jesentha K | Updated Jun 10, 2021 05:22 AM

Simplifying Expressions: How to Simplifying Algebraic Expressions with Examples and Tricks

Simplifying Expressions

Simplifying Expressions is quite easy when it comes to solving algebraic equations. The technique of simplifying expressions in the most efficient and compact form without altering the value of the original expression is known as simplification of an algebraic expression. If you like to solve algebraic equations then be the first to learn about the tricks in simplifying algebraic expressions with examples given right here. An algebraic expression is a mathematical phrase with variables and constants that are combined using +, -, × & ÷ operational symbols.

How do you Simplify Expressions? Let's scroll down to know more about simplifying algebraic expressions with examples.

What to remember while simplifying Algebraic Expressions?

Here are the terms used when simplifying algebraic expressions.

  • A variable is a letter whose value is unknown in an algebraic expression

  • Coefficient the numerical value used together with a variable

  • A constant is a term that has a definite value

  • Then the next factor is Like terms. The Like terms are variables with the same letter and power, sometimes like terms will contain different coefficients

How do you Simplify Expressions?

Let's check how to Simplify Expressions in an easy way. You can also check out simplifying algebraic expressions examples along with the answer in the below section.

  • First, remove any grouping symbol like brackets and parentheses by multiplying factors

  • Exponent rule will be useful to remove grouping if the terms are containing exponents

  • Now combine the like terms using addition or subtraction

  • Then combine the constants

Example 1

Simply - 4x2 + 2x2

(4 + 2) x

Answer: 6x2

Example 2

3 + 3x [2(2x+4) +2)]

First, multiply the terms within brackets

3 + 3x [2(2x+4) +2)] = 3 + 3x [4x+8 +2] = 3 + 3x [4x+10]

Now eliminate the parentheses by multiplying any number outside it

3 + 3x [4x+10] = 3 + 12x+30x

Answer - 12x 2/3 + 30x/3 + 3/3 = 4 x 2 + 10x + 1

Example 3

Simplify 2x + 3(x – 4)

2x + 3(x – 4) = 2x + 3x – 12

Answer - 2x + 3x – 12 = 5x - 12

Example 4

Simplify 3x – (2 – x)

3x – (2 – x) = 3x + (–1) [2 + (–x)]

= 3x + (–1) (2) + (–1) (–x)

= 3x – 2 + x

= 4x – 2

Example 5

Simplify 3(3x-1) + x((4x)/ (4)) + 5 – 2x

9x – 3 + x(x) + 5 – 2x

9x – 3 + x2 + 5 – 2x

x2 + (9x-2x) + (5-3)

Answer = x2 + 7x + 2

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Simplifying Expressions - FAQs

1. What is an algebraic expression?

An algebraic expression is a mathematical phrase with variables and constants that are combined using +, -, × & ÷ operational symbols

2. How do you Simplify Expressions?
  • First, remove any grouping symbol like brackets and parentheses by multiplying factors
  • Exponent rule will be useful to remove grouping if the terms are containing exponents
  • Now combine the like terms using addition or subtraction
  • Then combine the constants
3. What factors to remember when simplifying expressions?
  • A variable is a letter whose value is unknown in an algebraic expression
  • Coefficient the numerical value used together with a variable
  • A constant is a term that has a definite value
  • Then the next factor is Like terms. The Like terms are variables with the same letter and power, sometimes like terms will contain different coefficients
4. What is the answer for this equation 2x + 3(x – 4)?

The answer for the equation is 5x - 12

5. What is the answer for this equation 4x2 + 2x2?

The answer for the equation is 6x2