Let a R and b E R. Suppose that a > 0 and b>0. Give a counter example to show that the following are not valid equalities or show that they are valid. (a) [(a+b) (a - b)] = [(a+b)] · [(a−b)] (b) [(-3)² = []- 3a +5 (c) [*]=[]-[] 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 54E
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Let a 2 R and b 2 R. Suppose that a > 0 and b > 0. Give a counter example to show that the
following are not valid equalities or show that they are valid.

Let a e R and be R. Suppose that a > 0 and b > 0. Give a counter example to show that the
following are not valid equalities or show that they are valid.
1
(a) [(a+b) · (a – b)] = [(a + b)] · [(a – b)]
(а-3)2
(b) [ =1똥-3a + 5
(c) [ = - I
2
%3D
Transcribed Image Text:Let a e R and be R. Suppose that a > 0 and b > 0. Give a counter example to show that the following are not valid equalities or show that they are valid. 1 (a) [(a+b) · (a – b)] = [(a + b)] · [(a – b)] (а-3)2 (b) [ =1똥-3a + 5 (c) [ = - I 2 %3D
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