Combining Like Terms Calculator is an online tool that helps to simplify the given algebraic expression by combine like terms. An algebraic expression can consist of both like and unlike terms.
What is Combining Like Terms Calculator?
Combining Like Terms Calculator helps you to combine like terms and reduce the given algebraic expression. Two like terms can be combined by adding or subtracting them. To use the combining like terms calculator, enter the expression in the given input box.
Combining Like Terms Calculator
How to Use Combining Like Terms Calculator?
Please follow the steps below to combine like terms of the algebraic expression using the online combining like terms calculator:
- Step 1: Go to Cuemath's online combining like terms calculator
- Step 2: Enter the algebraic expression in the given input box of the combining like terms calculator.
- Step 3: Click on the "Solve" button to combine like terms.
- Step 4: Click on the "Reset" button to clear the field and enter new values.
How Does Combining Like Terms Calculator Work?
The terms of an algebraic expression are defined as the individual elements that are separated by a plus or minus sign. Like terms are those terms in an algebraic expression that have the same variables. Further, these variables are raised to the same power. The coefficients of such terms can be different. In contrast, unlike terms are those terms that have different variables that could be raised to different exponents. Addition, subtraction, multiplication, and division can be performed on like terms. However, addition and subtraction cannot be performed on unlike terms in order to combine them. The steps to simplify the algebraic expression by combining like terms are given as follows:
- If the expression consists of brackets, we need to open them.
- Write the terms that have the same variables which are raised to the same exponents together.
- As per the sign given, add or subtract these like terms. Thus, the algebraic expression will be reduced to its simplest form.
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Solved Examples on Combining Like Terms
Example 1: Simplify the given expression by combining the like terms 8x2 + 6x + 6x2 + 9 + 8x. Verify the result using the online combining like terms calculator.
Solution:
Writing like terms together we get,
= 8x2 + 6x2 + 6x + 8x + 9
Combining the like terms,
= 14x2 + 14x + 9
Therefore, combined like terms = 14x2 + 14x + 9
Example 2: Simplify the given expression by combining the like terms 9yx + 10x2 + 3.5y2 - (7x + 5x2 - 2xy + 1.2y2). Verify the result using the online combining like terms calculator.
Solution:
Opening the brackets,
= 9yx + 10x2 + 3.5y2 - 7x - 5x2 + 2xy - 1.2y2
Writing like terms together we get,
= 9yx + 2xy + 10x2 - 5x2 + 3.5y2 - 1.2y2 - 7x.
Combining the like terms,
= 11xy + 5x2 + 2.3y2 - 7x.
Therefore, combined like terms = 11xy + 5x2 + 2.3y2 - 7x
Similarly, you can try the online combining like terms calculator to combine like terms for the following:
- x3 + 4yx2 + 8 + 4y + 8.2x3 + 5yx2
- 7.2x2 + 6yx3 +5xz2 + 5 + 6.3x2 + 4z2x
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