Question

Simplify each expression. $$ 4(2 a+5 b)-3(4 b-a) $$

   Simplify each expression.
$$
4(2 a+5 b)-3(4 b-a)
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 1, Problem 76

Instant Answer

Solved by Expert Eva R

03/04/2020

Step 1

This gives us: $$ 4(2a) + 4(5b) - 3(4b) - 3(-a) = 8a + 20b - 12b + 3a $$ Show more…

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Simplify each expression. $$ 4(2 a+5 b)-3(4 b-a) $$

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Key Concepts

Distributive Property

The distributive property is a fundamental concept in algebra that allows you to multiply a single term by each term inside a parenthesis. It is especially useful when simplifying expressions that involve parentheses, as it helps to remove the parentheses by distributing the multiplication or subtraction across the terms within.

Combining Like Terms

Combining like terms involves simplifying algebraic expressions by gathering terms that have the same variable part. By adding or subtracting coefficients of terms that share the same variable factors, you can reduce the expression to a simpler form, making it easier to work with or further manipulate.

Simplification of Algebraic Expressions

Simplification of algebraic expressions refers to the process of reducing an expression to its simplest form by applying rules such as the distributive property and combining like terms. This process makes the expression easier to understand and solve, and is a key skill in algebra for solving equations and performing other operations.

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