Question 1: Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. (a) Ijx3 + X1X2Ã3 +ījx2+ X,X2 = IX3 + xjX3 + x2ãz +X,X2X3 %3D (b) xx3 +x2x3 + I2Ã3 = (x1 + x2 +x3)(x1 + x2 + X3)(T1 + x2 +3) (c) (x1 +x3)(X1 +x2 + X3)(x1 +x2) = (x1 +x2)(x2 +x3)(x1 + F3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 25E
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Question 1:
Determine whether or not the following expressions are valid, i.e., whether the left- and
right-hand sides represent the same function.
(a) X1x3 + X1X2X3 +Xjx2 + x1X2 = X2x3 +X1X3 + x2ī3 +X¡X2X3
(b) xx3 + x2x3 +x2X3 = (x1 + x2 + x3)(x1 +x2 +X3)(X1 + x2 + X3)
(c) (x1 + x3)(X1 +x2 +X3)(X1 + x2) = (x1 + x2)(x2 +x3)(x1 +X3)
Question 2:
Use algebraic manipulation to show that for three input variables x1, x2, and x3
> m(1, 2, 3, 4, 5, 6, 7) = x1 + x2 +x3
Transcribed Image Text:Question 1: Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. (a) X1x3 + X1X2X3 +Xjx2 + x1X2 = X2x3 +X1X3 + x2ī3 +X¡X2X3 (b) xx3 + x2x3 +x2X3 = (x1 + x2 + x3)(x1 +x2 +X3)(X1 + x2 + X3) (c) (x1 + x3)(X1 +x2 +X3)(X1 + x2) = (x1 + x2)(x2 +x3)(x1 +X3) Question 2: Use algebraic manipulation to show that for three input variables x1, x2, and x3 > m(1, 2, 3, 4, 5, 6, 7) = x1 + x2 +x3
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