Question

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$5(3 x-1)+6(2 x+3)$$

Name: Problem 24, Chapter 1: Intermediate Algebra
Uploaded: 2022-02-25T22:14:25-08:00
Duration: 51 s
Channel: Julie Silva
Description: Simplify the algebraic expressions by removing parentheses and combining similar terms. 5(3 x-1)+6(2 x+3)

   Simplify the algebraic expressions by removing parentheses and combining similar terms.
$$5(3 x-1)+6(2 x+3)$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 1, Problem 24

Instant Answer

Solved by Expert Julie Silva

02/25/2022

Step 1

Step 1: First, we distribute the 5 and the 6 to the terms inside the parentheses: $$5(3 x-1)+6(2 x+3) = 5*3x - 5*1 + 6*2x + 6*3$$ Show more…

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Simplify the algebraic expressions by removing parentheses and combining similar terms. $$5(3 x-1)+6(2 x+3)$$

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic concept that allows one to multiply a single term across terms inside parentheses. This property is used to remove parentheses by distributing the multiplication over addition or subtraction, turning expressions like a(b + c) into ab + ac.

Combining Like Terms

Combining like terms is the process of simplifying algebraic expressions by adding or subtracting coefficients of terms that have the same variable part. This step is essential in reducing expressions to their simplest form and involves grouping similar terms together for easier calculation.

Simplification of Algebraic Expressions

Simplification of algebraic expressions involves both applying the distributive property and combining like terms in order to reduce an expression to its simplest possible form. This process is a key component in solving algebraic equations and in performing algebraic manipulations in general.

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