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: 45

Answer

$(u-v^2)(u^2+v^3+v^4)$

Work Step by Step

RECALL: $A^3-B^3=(A+B)(A^2+AB+B^2)$ The given binomial can be written as: $=u^3-(v^2)^3$ The binomial above is a difference of two cubes. Factor using the the formula above with $A=u$ and $B=v^2$ to obtain: $=(u-v^2)[u^2+(u)(v^2) +(v^2)^2] \\=(u-v^2)(u^2+uv^2+v^4)$
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