Question

Remove parentheses and simplify. $$ 4 r-(3 r+5) $$

   Remove parentheses and simplify.
$$
4 r-(3 r+5)
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 82

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This changes the sign of each term inside the parentheses. So, the expression becomes: $$ 4r - 3r - 5 $$ Show more…

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Remove parentheses and simplify. $$ 4 r-(3 r+5) $$

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Key Concepts

Distributive Property

This property allows you to multiply a term outside the parentheses by each term inside the parentheses. When a subtraction sign precedes the parentheses, it must be distributed as multiplication by -1 to each term within.

Combining Like Terms

This process involves merging terms that have the same variable components. After distributing multiplication or subtraction across terms, like terms are added or subtracted to simplify the expression to its most reduced form.

Simplification of Algebraic Expressions

This is the overall process of reducing expressions to fewer terms and simpler forms. It encompasses applying the distributive property, combining like terms, and performing arithmetic operations to streamline the expression.

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