Question

Combine like terms. $$ n^{4}-2 n^{3}+n^{2}-3 n^{4}+n^{3} $$

   Combine like terms.
$$
n^{4}-2 n^{3}+n^{2}-3 n^{4}+n^{3}
$$

Intermediate Algebra

Intermediate Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 45

Instant Answer

Solved by Expert Jeyasree R T

07/27/2020

Step 1

In this case, the like terms are $n^{4}$, $n^{3}$, and $n^{2}$. Show more…

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Combine like terms. $$ n^{4}-2 n^{3}+n^{2}-3 n^{4}+n^{3} $$

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Key Concepts

Polynomial Expressions

A polynomial expression is an algebraic expression made up of terms that include variables raised to nonnegative integer powers along with their coefficients. These expressions are central in algebra and serve as the foundation for many mathematical operations and functions.

Like Terms

Like terms in an expression are terms that involve the same variable raised to the same power. This similarity allows you to combine these terms by adding or subtracting their coefficients, which simplifies the expression while preserving its overall value.

Combining Like Terms

Combining like terms is the process of simplifying an algebraic expression by adding or subtracting the coefficients of terms that have the same variable components and exponents. This method reduces the number of terms in the expression, making it easier to analyze or further manipulate.

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