step 1 So we're going to be doing the FOIL method. We're going to start with the first terms. We have A

Question

Multiply. $$(a-8)(a-9)$$

Name: Problem 70, Chapter 9: Prealgebra and Introductory Algebra
Uploaded: 2020-06-26T23:59:11-08:00
Duration: 45 s
Channel: Ebunoluwa Bolujo
Description: Multiply. (a-8)(a-9)

   Multiply. $$(a-8)(a-9)$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 9, Problem 70

Instant Answer

Solved by Expert Ebunoluwa Bolujo

06/26/2020

Step 1

FOIL stands for First, Outside, Inside, Last. This means we multiply the first terms in each binomial, then the outside terms, then the inside terms, and finally the last terms in each binomial. So, we get: \[a^2 - 9a - 8a + 72\] Show more…

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Multiply. $$(a-8)(a-9)$$

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Key Concepts

Distributive Property

The distributive property allows one to multiply a single term by each term inside a parenthesis, ensuring that every term in one polynomial is multiplied by every term in the other. This concept is foundational for expanding expressions and simplifying algebraic equations.

FOIL Method

The FOIL method is a mnemonic used specifically for multiplying two binomials. It helps to remember that one should multiply the First terms, Outer terms, Inner terms, and Last terms, before combining like terms to achieve the simplified result.

Polynomial Multiplication

Polynomial multiplication involves the process of multiplying each term in one polynomial by each term in another and then combining like terms to simplify the resulting expression. This process is essential in algebra, particularly when solving equations and simplifying expressions.

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