Question

Simplify.$(3 a-6 b+5 c)-(-2 a+4 b-8 c)$

Name: Problem 43, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2022-01-26T17:53:33-08:00
Duration: 1 min 7 s
Channel: Emily Himsel
Description: Simplify.(3 a-6 b+5 c)-(-2 a+4 b-8 c)

   Simplify.$(3 a-6 b+5 c)-(-2 a+4 b-8 c)$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 43

Instant Answer

Solved by Expert Emily Himsel

01/26/2022

Step 1

First, let's distribute the negative sign to each term inside the second parentheses: $(3a - 6b + 5c) - (-2a + 4b - 8c) = (3a - 6b + 5c) + (2a - 4b + 8c)$ Show more…

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Simplify.$(3 a-6 b+5 c)-(-2 a+4 b-8 c)$

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Key Concepts

Distributive Property

The distributive property allows one to multiply or divide each term inside the parentheses by a factor that precedes the parentheses. In the context of subtraction, it means that subtracting an entire expression is equivalent to multiplying each term inside the parentheses by -1 before combining them with other terms.

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable part. By grouping these similar terms, one can simplify an algebraic expression to its most reduced form, which is a fundamental skill in algebra.

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