Question
Name the property that is illustrated.
(x−5)(x+3) = x2−3x−5x−15
(1 point)
Responses
Closure Property
Closure Property
Associative Propery
Associative Propery
Commutative Property
Commutative Property
Distributive Property
(x−5)(x+3) = x2−3x−5x−15
(1 point)
Responses
Closure Property
Closure Property
Associative Propery
Associative Propery
Commutative Property
Commutative Property
Distributive Property
Answers
GPT-4o mini
The property illustrated by the equation \((x−5)(x+3) = x^2−3x−5x−15\) is the **Distributive Property**.
The Distributive Property states that \(a(b + c) = ab + ac\), which is shown here by distributing \(x-5\) across \(x+3\).
The Distributive Property states that \(a(b + c) = ab + ac\), which is shown here by distributing \(x-5\) across \(x+3\).