87-88 - Verifying Identities Show that the following identities hold. 87. (a) ab = [(a + b)² – (a² + b²)] (b) (a² + b²)² – (a² – b²)² = 4a²b² 88. (a² + b³)(c² + d²) = (ac + bd)² + (ad – bc)² %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 27E
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87–88 ■ Verifying Identities Show that the following identities
hold.

87-88 - Verifying Identities Show that the following identities
hold.
87. (a) ab = [(a + b)² – (a² + b²)]
(b) (a² + b²)² – (a² – b²)² = 4a²b²
88. (a² + b³)(c² + d²) = (ac + bd)² + (ad – bc)²
%3D
Transcribed Image Text:87-88 - Verifying Identities Show that the following identities hold. 87. (a) ab = [(a + b)² – (a² + b²)] (b) (a² + b²)² – (a² – b²)² = 4a²b² 88. (a² + b³)(c² + d²) = (ac + bd)² + (ad – bc)² %3D
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