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Example 19-29. If U, is a rational function of the second degree, prove that : b+c \a-b)(a – c) (c + a) Ua + (b – c)(b – a) u} a + b Up + (c – a)(c – b) = - ax x = 0 Hence evaluate : a? (b + c)(b – c) – b² (a + c)(a – c) + c² (a + b)(a – b).

Example 19-29. If U, is a rational function of the second degree, prove that : b+c \a-b)(a – c) (c + a) Ua + (b – c)(b – a) u} a + b Up + (c – a)(c – b) = - ax x = 0 Hence evaluate : a? (b + c)(b – c) – b² (a + c)(a – c) + c² (a + b)(a – b).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Example 19-29. If Ux is a rational function of the second degree, prove that : (c + a) -- (a – b)(a – c) b + c u} a + b + ®n (b – c)(b – a) Up + (c – a)(c – b) dx X = 0 Нeпce evaluate : a? (b + c)(6 — с) -b? (a + c)(а — с) + с2 (а + b)(а - b).
Transcribed Image Text:Example 19-29. If Ux is a rational function of the second degree, prove that : (c + a) -- (a – b)(a – c) b + c u} a + b + ®n (b – c)(b – a) Up + (c – a)(c – b) dx X = 0 Нeпce evaluate : a? (b + c)(6 — с) -b? (a + c)(а — с) + с2 (а + b)(а - b).
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