Show that if a, b, c ER then: (a) a−b=-(b-a). (b) (a + b)(ab) - a(a - b) + b(b-a) = 0. (c) a b=0⇒a=0 o b=0. (d) (-a)(cd) = ad - ac.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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Show that if a, b, c ER then:
(a) a-b=-(b-a).
(b) (a+b)(a-b)-a(a-b)+b(b-a) = 0.
(c) a.b=0⇔a=0o6=0.
(d) (-a)(c-d) = ad-ac.
Transcribed Image Text:段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI Show that if a, b, c ER then: (a) a-b=-(b-a). (b) (a+b)(a-b)-a(a-b)+b(b-a) = 0. (c) a.b=0⇔a=0o6=0. (d) (-a)(c-d) = ad-ac.
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