Question

Simplify each expression. $-4(-1+6 x)$

   Simplify each expression.
$-4(-1+6 x)$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Margaret L. Lial ,… 5th Edition

Chapter 2, Problem 78

Instant Answer

Solved by Expert Amy Jiang

07/11/2020

Step 1

This means we multiply $-4$ by $-1$ and $-4$ by $6x$. Show more…

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Simplify each expression. $-4(-1+6 x)$

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Key Concepts

Multiplication of Negative Numbers

Understanding how to multiply negative numbers is crucial when applying the distributive property. The rule states that multiplying two negative numbers results in a positive number, while multiplying a negative number by a positive number results in a negative number. This fundamental concept ensures that the signs are correctly handled during the simplification process.

Distributive Property

This is the algebraic rule that allows you to multiply a single term by each term inside a parenthesis. In general, for any numbers a, b, and c, the distributive property states that a(b + c) equals ab + ac. This approach is essential for simplifying expressions that involve both multiplication and addition or subtraction.

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