Question

Find the sum of $13 x-15$ and $16 x+110 .$

   Find the sum of $13 x-15$ and $16 x+110 .$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 5, Problem 26

Instant Answer

Solved by Expert Emily Himsel

01/27/2022

Step 1

The like terms are the terms that have the same variable. In this case, the like terms are $13x$ and $16x$. So, we add $13x$ and $16x$ together: \[13x + 16x = 29x\] Show more…

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Find the sum of $13 x-15$ and $16 x+110 .$

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Key Concepts

Polynomial Addition

Polynomial addition is the process of combining two or more polynomial expressions by adding their corresponding coefficients. This operation follows basic algebraic rules and simplifies the expressions into a single polynomial, ensuring that like terms—which have the same variables raised to the same powers—are combined correctly.

Like Terms

Like terms are components of a polynomial that contain the same variable raised to the same exponent. Recognizing these terms is essential during addition because it allows you to add their coefficients while keeping the variable part unchanged, thereby simplifying the expression into its most reduced form.

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