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: 36

Answer

$-10x$

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. $.4(10-5x)-.8(5+10x)=(.4\times 10)+(.4\times-5x)+(-.8\times 5)+(-.8\times10x)=(4)+(-2x)+(-4)+(-8x)=(-2-8)x+(4-4)=(-10)x+(0)=-10x$
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