Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Put equation in factored form
![The image contains the mathematical expression:
\[ 9x(4x + 5y) \]
This expression can be expanded using the distributive property in algebra. The distributive property states that for any numbers \( a \), \( b \), and \( c \), the expression \( a(b + c) \) is equal to \( ab + ac \).
Applying this property, the expression can be expanded as:
\[ 9x \cdot 4x + 9x \cdot 5y \]
This results in:
\[ 36x^2 + 45xy \]
In an educational context, this expression might be used to teach algebraic expansion and the application of the distributive property.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F363f9d0b-8f44-408c-8460-539c78c52e75%2F60f45fda-682d-41bd-a63d-e0f5f24b5a6c%2F1d01s9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the mathematical expression:
\[ 9x(4x + 5y) \]
This expression can be expanded using the distributive property in algebra. The distributive property states that for any numbers \( a \), \( b \), and \( c \), the expression \( a(b + c) \) is equal to \( ab + ac \).
Applying this property, the expression can be expanded as:
\[ 9x \cdot 4x + 9x \cdot 5y \]
This results in:
\[ 36x^2 + 45xy \]
In an educational context, this expression might be used to teach algebraic expansion and the application of the distributive property.
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