Question

Simplify the expression. $$4(x+2)-(x+2)$$

   Simplify the expression.
$$4(x+2)-(x+2)$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 2, Problem 38

Instant Answer

Solved by Expert Ramzi Deek

04/28/2020

Step 1

Step 1: First, distribute the 4 to both terms inside the parentheses: $4(x+2)$ becomes $4x + 8$. Show more…

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Simplify the expression. $$4(x+2)-(x+2)$$

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Key Concepts

Distributive Property

The distributive property allows you to multiply a single term by each term inside a parenthesis. It is used to expand expressions and is essential in simplifying algebraic expressions, ensuring that every term within the parenthesis is properly multiplied by the term outside.

Combining Like Terms

Combining like terms is a method used to simplify expressions by adding or subtracting terms that have the same variables raised to the same powers. This process reduces the complexity of an expression, making it easier to work with or solve.

Factoring

Factoring is the process of writing an expression as a product of its factors. Recognizing common factors in terms allows the expression to be rewritten in a compact form, often making subsequent algebraic manipulations easier. It is a crucial technique for simplifying expressions, solving equations, and understanding the structure of algebraic formulas.

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