# Combine the like terms to create an equivalent expression

When we combine like terms to create an equivalent expression of the multiplication, then negative and negative produce positive values.Multiplication of negative and positive produce a negative result and positive and positive term produce positive result.How to combine like terms with multiplication operations is as follows:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

## What are the rules for combining like terms?

When the terms are unlike, you are not allowed to combine them.

• A term of an expression is a number and a variable, or a product or quotient of numbers and variables such as 5x or 3y.
• Like (or similar) terms that are exactly the same have the same variable and the same exponent. This will allow you to add or subtract them.
• Terms that are not like terms are called unlike terms. …

## What are like terms, and how do you combine them?

Like terms are terms with the same variables and same powers. Be sure to use the “(+)” or “(–) “that is in front of the coefficient. Combining like Terms

## Which terms in the expression are like terms?

Terms are the different parts of an algebraic expression that are separated by either a plus or a minus sign. Like terms are simply any of these terms that use exactly the the same letters. For example, in the expression z + a + z + b + a + b, the two a terms are like terms, the two z terms are like terms and the two b terms are like terms.

## What does combining like terms look like?

To combine like terms, you want to first reorder the terms so the powers are from highest to lowest. The like terms can be combined. That is, the terms with the same power can be combined. I’ll write it with parenthesis first to show which ones can be combined. I hope that helps answer your question.

## What is an equivalent expression?

Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

## What is an example of an equivalent expression?

Examples of Equivalent Expressions 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6×2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.

## Is 2x and 2y like terms?

So, for example, 2x and 3x would be like terms since they both have the variable x and they’re both to the first power. But 2x and 2y would not be like terms because they have different variables, x and y.

## How do you find the equivalent expressions by combining like terms and using the distributive property?

0:041:56How to find equivalent expressions by combining like terms and using the …YouTubeStart of suggested clipEnd of suggested clipSo that’s x plus x. Plus 2i now i’m just switching the order plus 2 and then these two x’s rightMoreSo that’s x plus x. Plus 2i now i’m just switching the order plus 2 and then these two x’s right over. Here. I can just rewrite that as 2x. So i have 2x. Plus 2i plus 2y plus 2.

## How do you create equivalent expressions?

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

## How do you combine like terms?

Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the “like term” and adding or subtracting the numerical coefficients.

## Are 2xy and 3yx like terms?

Yes, 2xy and 3yx are like terms as both the terms are having same variables.

## Are x2y and xy2 like terms?

xy² and y²x are like terms.

## Are 5x and 4xy like terms?

Now the answer to the above question is NO, 5x and 4xy are not like terms as 5x and 4xy both have different variables with different coefficient of x and y.

## How do you combine like terms in addition and subtraction?

0:024:19like terms, addition and subtraction (KristaKingMath) – YouTubeYouTubeStart of suggested clipEnd of suggested clipTerms when it comes to addition and subtraction of like terms. So when we’re trying to add orMoreTerms when it comes to addition and subtraction of like terms. So when we’re trying to add or subtract the definition of like terms is going to be the same variable with the same exponent.

## How do you expand and combine like terms?

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

## How do you combine like terms with different exponents?

0:013:52Combining Like Terms with Exponents – YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd the trick here is that the exponents. Matter a term is not a like term unless it has the sameMoreAnd the trick here is that the exponents. Matter a term is not a like term unless it has the same letters. With the same exponents. So if you look at this first one here’s a term 7x to the sixth Y.

## Which equation is equivalent to log2n 4?

The correct answer is B) 16.

## Which expression is equivalent to sine of 7pi 6 )?

The value of sin 7pi/6 in decimal is -0.5. Sin 7pi/6 can also be expressed using the equivalent of the given angle (7pi/6) in degrees (210°). Since the sine function is a periodic function, we can represent sin 7pi/6 as, sin 7pi/6 = sin(7pi/6 + n × 2pi), n ∈ Z.

## How do you find equivalent expressions with fractions?

1:212:52Equivalent Forms of Algebraic Fractions – YouTubeYouTubeStart of suggested clipEnd of suggested clipWe have to do is multiply straight across 5 times X 5 X 3 times 1/3. And then we have 5 x over 3 theMoreWe have to do is multiply straight across 5 times X 5 X 3 times 1/3. And then we have 5 x over 3 the second expression we have 1/3.

## What expression is equal to 81?

Some expressions that are equivalent to 81 are 9^2, 3\times3^3, and 8^2+17.

6q+2, variables are considered as 1 unless they are given a specific value, making the answer once you combine all the numbers and variables 6q+2.

## New questions in Mathematics

Mr. Cho received a container of fresh eggs. He sold 1/3 of the eggs in the morning and sold 320 eggs in the afternoon. At the end of the day, he found …

## How to combine two like terms?

Step 1: Enter the complete equation in the first input box i.e. across “Enter Terms:”. Step 2: Click on “Combine Like Terms”. Step 3: After clicking on “Combine Like Terms”, a new window will appear where all the like terms will be simplified.

## How do you combine like terms and simplify?

To combine like terms, first simplify the equation by removing brackets and parentheses. Then perform the required operation on the terms having equal powers.

## How do you identify like terms?

To identify like terms, check for the powers of all the variables in an equation. Like terms in the equation will be those having equal powers.

## What is a combine like terms calculator?

Combine like terms calculator is a free online tool which can help to combine like terms in an equation and simplify the equation. This is a handy tool while solving polynomial equation problems as it makes the calculations process easy and quick.

## What is like terms in math?

In an equation, like terms refer to the terms which are having equal powers. For example, x 2 and 2x 2 are like terms. Similarly, 3x 3 and 54x 3 are like terms.

## Is XY the same as YX?

For XY and YX, the powers are the same i.e. 1. So, XY can be written as YX and vice versa. So, XY and YX can be classified as like terms.