College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises - Page 43: 78

Answer

$(2t-3s)(2t+3s)$

Work Step by Step

RECALL: $A^2-B^2=(A-B)(A+B)$ The given binomial can be written as: $=2^2t^2-3^2s^2 \\=(2t)^2-(3s)^2$ Factor the binomial using the formula above with $A=2t$ and $B=3s$ to obtain: $=(2t-3s)(2t+3s)$
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