Question

Simplify. $$ (3 x+8)(2 x+6) $$

Name: Problem 33, Chapter 6: Algebra 2
Uploaded: 2020-03-06T18:23:17-08:00
Duration: 1 min 6 s
Channel: Joshua Eastwood
Description: Simplify. (3 x+8)(2 x+6)

   Simplify.
$$
(3 x+8)(2 x+6)
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 6, Problem 33

Instant Answer

Solved by Expert Joshua Eastwood

03/06/2020

Step 1

This means we multiply $3x$ by $2x$ and $6$, and then multiply $8$ by $2x$ and $6$. Show more…

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Simplify. $$ (3 x+8)(2 x+6) $$

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Key Concepts

Multiplication of Binomials

Multiplying binomials involves applying the distributive property twice, often remembered through the FOIL (First, Outer, Inner, Last) method. This technique simplifies the process of expanding two-term expressions by ensuring that every term in the first binomial is multiplied by every term in the second binomial.

Combining Like Terms

After expanding algebraic expressions, combining like terms is necessary to simplify the result. This involves adding or subtracting terms with the same variable and exponent, thereby reducing the expression to its simplest form.

Distributive Property

The distributive property is a fundamental algebraic principle which states that a term multiplied by a sum is equal to the sum of the individual products. This property is essential for multiplying expressions, as it allows you to distribute one factor into each term of the other factor, thereby simplifying the expression.

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