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Combining like terms calculator step by step

Combining like terms calculator
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Hey there! Are you tired of trying to simplify algebraic expressions on your own? Do you need a little extra help understanding the process of combining like terms? If so, you’re in luck! The Combining Like Terms calculator with steps is here to help.

This calculator is designed specifically to assist users like you in simplifying algebraic expressions by combining similar terms. It provides step-by-step guidance to ensure that you can easily understand the process involved in combining like terms.

To use the calculator, simply enter the algebraic expression that you wish to simplify into the input field. The Combining Like Terms calculator will then analyze the expression and provide a step-by-step breakdown of the process involved in combining the like terms. With this helpful tool by your side, simplifying algebraic expressions will be a breeze.

Valid functions and symbols Description
sqrt() Square root
ln() Natural logarithm
log() Logarithm base 10
^ Exponents
abs() Absolute value
sin(), cos(), tan(), csc(), sec(), cot() Basic trigonometric functions
asin(), acos(), atan(), acsc(), asec(), acot() Inverse trigonometric functions
sinh(), cosh(), tanh(), csch(), sech(), coth() Hyperbolic functions
asinh(), acosh(), atanh(), acsch(), asech(), acoth() Inverse hyperbolic functions
pi PI number (π = 3.14159...)
e Neper number (e= 2.71828...)
i To indicate the imaginary component of a complex number.

Table 1: Valid functions and symbols

Table of Contents

Definition of combine like terms

Combining like terms is a mathematical process in which similar terms in an algebraic expression are combined or simplified. This is typically done by adding or subtracting the coefficients of the terms, and leaving the variables unchanged. For example, if an expression contains the terms “3x” and “5x”, these terms can be combined to form the simplified expression “8x”. Similarly, the terms “2y” and “4y” can be combined to form “6y”. Combining like terms can help to simplify complex algebraic expressions and make them easier to work with.

How to combine like terms

To combine like terms, follow these steps:

  1. Identify the like terms in the expression. Like terms are terms that have the same variable and exponent. For example, “3x” and “5x” are like terms, as are “2y” and “4y”.
  2. Add or subtract the coefficients of the like terms. The coefficient is the number that appears in front of the variable. In the example “3x + 5x”, the coefficients are “3” and “5”. To combine these terms, add the coefficients together to get “8x”. To do this, you must keep in mind the sign of each term.
  3. Leave the variables unchanged. The variables in like terms should not be changed or altered in any way when combining the terms.
  4. Simplify the expression. Once you have combined all of the like terms, the expression should be simplified and easier to work with.

For example, consider the expression -8m2+3x + 5x – 2y + 4y – 3z + 6z.

To combine the like terms in this expression, we would add the coefficients of the “x” terms to get “8x“, add the coefficients of the “y” terms to get “2y“, and add the coefficients of the “z” terms to get “3z“.

The simplified expression would be -8m2+8x + 2y + 3z.

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