Question

Multiply the binomials. $(x-9)(x-6)$

   Multiply the binomials.
$(x-9)(x-6)$

Intermediate Algebra

Intermediate Algebra

Lisa Healey 1st Edition

Chapter 4, Problem 17

Instant Answer

Solved by Expert Julie Silva

04/14/2021

Step 1

Step 1: Identify the binomials to be multiplied, which are \( (x - 9) \) and \( (x - 6) \). Show more…

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Multiply the binomials. $(x-9)(x-6)$

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Key Concepts

Binomials

A binomial is a polynomial with two terms connected by addition or subtraction. Understanding binomials is crucial as they are building blocks in algebra for creating, manipulating, and factoring expressions.

FOIL Method

The FOIL method stands for First, Outer, Inner, and Last, and is a systematic approach to multiplying two binomials. It guides the process of multiplying each term in one binomial with each term in the other to ensure that all products are accounted for.

Distributive Property

The distributive property is a fundamental principle in algebra that allows one to multiply a single term by every term inside a parenthesis. This property is applied in multiplying binomials, ensuring that the multiplication is correctly extended across additive terms.

Combining Like Terms

After expanding expressions by multiplication, combining like terms involves grouping and simplifying terms that have the same variable parts. This step is critical in reducing the expression to its simplest form.

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