Question

Find the product. $(3 x+1)(8 x-3)$

   Find the product.
$(3 x+1)(8 x-3)$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 10, Problem 67

Instant Answer

Solved by Expert Heather Zimmers

04/18/2020

Step 1

This is the "F" in FOIL. So, $3x * 8x = 24x^{2}$. Show more…

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Find the product. $(3 x+1)(8 x-3)$

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Key Concepts

Distributive Property

This principle allows each term in one binomial to be multiplied by every term in the other binomial. It is a fundamental rule in algebra that states a(b + c) equals ab + ac, and is essential when expanding products of polynomials.

FOIL Method

The FOIL method is a specific application of the distributive property used for multiplying two binomials. FOIL stands for First, Outer, Inner, Last, indicating the order in which pairs of terms should be multiplied to ensure all products are accounted for.

Combining Like Terms

After multiplying the terms using the distributive property or FOIL method, like terms—those that contain the same variables raised to the same powers—are combined to simplify the expression. This process helps in reducing the expression to its simplest form.

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