step 1 We're being asked to multiply negative 7 to 3x minus 5. To do this, first, we're going to multip

Question

Multiply. $$ -7(3 x-5) $$

Name: Problem 64, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T01:16:55-08:00
Duration: 31 s
Channel: Julie Silva
Description: Multiply. -7(3 x-5)

   Multiply.
$$
-7(3 x-5)
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 64

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This means we multiply -7 by 3x and -7 by -5. $$ -7(3x) + -7(-5) $$ Show more…

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Multiply. $$ -7(3 x-5) $$

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Key Concepts

Distributive Property

This is a fundamental property of multiplication over addition, where a constant outside parentheses multiplies each term within the parentheses individually. It forms the basis for simplifying expressions like a(b + c) into ab + ac.

Operations with Negative Numbers

Understanding how to handle negative numbers is crucial when multiplying expressions. When a negative number multiplies a positive term, the result is negative, and when it multiplies another negative term, the result is positive.

Multiplication of Algebraic Expressions

This concept involves applying the rules of multiplication to variables and constants. It requires careful attention to coefficients, variables, and the association of negative signs to simplify expressions correctly.

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