Q48. Use the distributive property to... [FREE SOLUTION]

91影视

Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 2: Q48. (page 73)

Use the distributive property to write an equivalent variable expression.
$鈥� (鈥� 鈥� 2 u - 7 鈥� 鈥�) 鈥� 鈥� u$

Short Answer

Expert verified

$(2 u 鈥� 鈥� - 鈥� 鈥� 7) 鈥� 鈥� u 鈥� 鈥� = 鈥� 鈥� 2 u^{2} 鈥� 鈥� - 鈥� 鈥� 7 u$ .

Step by step solution

Step-1 – What are real numbers?

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Distributive Property of Multiplication

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $(鈥� 鈥� b 鈥� 鈥� - 鈥� 鈥� c 鈥� 鈥�) 鈥� 鈥� a 鈥� 鈥� = 鈥� 鈥� b 鈥� 鈥� 路鈥� 鈥� a 鈥� 鈥� - 鈥� 鈥� c 鈥� 鈥� 路鈥� 鈥� a$

Example: $鈥� (鈥� 鈥� 12 鈥� 鈥� - 鈥� 鈥� 4 鈥� 鈥�) 鈥� 鈥� 2 鈥� 鈥� = 鈥� 鈥� 12 鈥� 鈥� 路鈥� 鈥� 2 鈥� 鈥� - 鈥� 鈥� 4 鈥� 鈥� 路鈥� 鈥� 2= 鈥� 鈥� 24 鈥� 鈥� - 鈥� 鈥� 8 鈥� 鈥� = 鈥� 鈥� 16$

Step-3: Evaluate the expression using the distributive property.

Distributive Property of Multiplication

$\begin{array}{l} (2 u 鈥夆赌� 鈭� 鈥夆赌� 7) 鈥夆赌� u 鈥夆赌� = 鈥夆赌� 2 u 鈥夆赌� 路鈥夆赌� u 鈥夆赌� 鈭� 鈥夆赌� 7 鈥夆赌� 路鈥夆赌� u 鈥夆赌� = 鈥夆赌� 2 u^{2} 鈥夆赌� 鈭� 鈥夆赌� 7 u \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� 2 u 鈥夆赌� 路鈥夆赌� u 鈥夆赌� = 鈥夆赌� 2 u^{2} \\ 鈥夆赌� (2 u 鈥夆赌� 鈭� 鈥夆赌� 7) 鈥夆赌� u 鈥夆赌� = 鈥夆赌� 2 u^{2} 鈥夆赌� 鈭� 鈥夆赌� 7 u \end{array}$

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91影视

Use the distributive property to write an equivalent variable expression.
$鈥� (鈥� 鈥� 2 u - 7 鈥� 鈥�) 鈥� 鈥� u$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property.

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91影视

Use the distributive property to write an equivalent variable expression.鈥�(鈥�鈥�2u-7鈥�鈥�)鈥�鈥�u

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Decision Maths

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use the distributive property to write an equivalent variable expression.
$鈥� (鈥� 鈥� 2 u - 7 鈥� 鈥�) 鈥� 鈥� u$