Question

Simplify each expression. If an expression cannot be simplified, so state. $9 x-[3 x-(5 x-4 y)]-2 y$

Name: Problem 55, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-06-10T08:48:38-08:00
Duration: 1 min 37 s
Channel: Joshua Fischbach
Description: Simplify each expression. If an expression cannot be simplified, so state. 9 x-[3 x-(5 x-4 y)]-2 y

   Simplify each expression. If an expression cannot be simplified, so state. $9 x-[3 x-(5 x-4 y)]-2 y$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 55

Instant Answer

Solved by Expert Joshua Fischbach

06/10/2020

Step 1

First, we can remove the parentheses by distributing the negative signs: $9x - 3x + 5x - 4y - 2y$ Now, we can combine like terms: Show more…

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Simplify each expression. If an expression cannot be simplified, so state. $9 x-[3 x-(5 x-4 y)]-2 y$

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Key Concepts

Distributive Property

This concept involves multiplying a term outside the parentheses by each term inside the parentheses. It is crucial for eliminating grouping symbols and rewriting expressions in a simpler form.

Like Terms

Like terms are terms in an algebraic expression that have identical variable parts raised to the same powers. Combining these simplifies the expression by reducing the number of terms.

Sign Management

Managing positive and negative signs correctly, especially when distributing negatives over parentheses, is essential to ensure accuracy during simplification. Mismanaging signs can lead to errors in combining like terms.

Order of Operations

The order of operations dictates the sequence in which operations should be performed in an expression. This principle helps ensure that expressions are simplified systematically, starting with operations inside parentheses.

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