Answer
$8(y-5z^2)(y^2+5yz^2+25z^4)$
Work Step by Step
Use the formula $A^3-B^3=(A-B)(A^2+AB+B^2)$, we have $8y^3-1000z^6=(2y)^3-(10z^2)^3=((2y)-(10z^2))((2y)^2+(2y)(10z^2)+(10z^2)^2)=2(y-5z^2)(4y^2+20yz^2+100z^4)=8(y-5z^2)(y^2+5yz^2+25z^4)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises - Page 83: 72
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