Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.4 - Properties of Real Numbers - R.4 Exercises - Page 38: 35



Work Step by Step

The distributive property holds that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$). We are given the expression $.25(8+4p)-.5(6+2p)$. We can use the distributive property to simplify the terms in parentheses and combine like terms. $.25(8+4p)-.5(6+2p)=(.25\times 8)+(.25\times4p)+(-.5\times 6)+(-.5\times2p)=(2)+(p)+(-3)+(-p)=(1-1)p+(2-3)=(0)p+(-1)=-1$
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