Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.
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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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