Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 67

Answer

$(x-2)(x+1)(-x+8)=-(x-2)(x+1)(x-8)$

Work Step by Step

$2(x-2)(x+1)^2-3(x-2)^2(x+1)=2(x-2)(x+1)(x+1)-3(x-2)(x-2)(x+1)=(x-2)(x+1)[2(x+1)-3(x-2)]=(x-2)(x+1)(2x+2-3x+6)=(x-2)(x+1)(-x+8)=-(x-2)(x+1)(x-8)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.