Question

Remove parentheses and simplify. $$ 6[2 a+4(a-2 b)] $$

   Remove parentheses and simplify.
$$
6[2 a+4(a-2 b)]
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 85

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This gives us: $$ 6[2a + 4a - 8b] $$ Show more…

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Remove parentheses and simplify. $$ 6[2 a+4(a-2 b)] $$

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Key Concepts

Distributive Property

The distributive property allows you to multiply a term outside of parentheses by each term inside the parentheses. This property is used to remove the parentheses from an expression so that each term within is properly multiplied, laying the groundwork for further simplification.

Combining Like Terms

Combining like terms involves summing terms that have the same variables raised to the same powers. This technique simplifies expressions by reducing them to their simplest form after distribution has occurred.

Order of Operations

The order of operations is a set of rules that determines the sequence in which operations in an expression should be performed. This ensures that multiplication is carried out before addition or subtraction, which is critical when simplifying algebraic expressions.

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