Question

Find the product. $(2 x+7)(3 x-1)$

   Find the product.
$(2 x+7)(3 x-1)$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 10, Problem 65

Instant Answer

Solved by Expert Heather Zimmers

04/18/2020

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This gives us $6x^{2}$. Show more…

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Find the product. $(2 x+7)(3 x-1)$

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Key Concepts

FOIL Method

The FOIL method is a mnemonic that stands for First, Outer, Inner, Last, representing the order in which terms in two binomials are multiplied. This method provides a systematic way to expand the product of two binomials.

Combining Like Terms

After expanding an expression using the distributive property or the FOIL method, like terms—terms with the same variable parts—are combined to simplify the expression into its simplest form.

Distributive Property

This is a fundamental algebraic rule stating that multiplying a term by a sum is equivalent to multiplying each addend by the term and then adding the results. It is the basis for expanding products such as multiplying two binomials.

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