Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 67: 125

Answer

This equation is false.

Work Step by Step

Step 1: Write Left Hand Side of the equation. $-m(n-m)$ Step 2: Use Distributive law. $-m(n)+(-m)(-m)$ Step 3: Since the product of a negative number and a positive number is negative. And the product of two negative numbers is positive. We get, $-mn+m^2$ Step 4: Now write Right Hand Side of the equation. $-(mn+m^2)$ Step 5: Use Distributive law. We get, $-mn-m^2$ Since the Left Hand Side and the Right Hand Side are not equal. This equation is false.
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