Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.2 Verifying Trigonometric Identities - 7.2 Exercises: 31

Answer

$\left( \sin x-\cos x\right) \left( 1+\sin x\cos x\right) $

Work Step by Step

$\left( \sin ^{3}x-\cos ^{3}x\right) =\left( \sin x-\cos x\right) \left( \sin ^{2}x+\sin x\cos x+\cos ^{2}x\right) =\left( \sin x-\cos x\right) \left( 1+\sin x\cos x\right) $
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