Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 53: 53



Work Step by Step

Commutative properties: $a+b=b+a,\qquad ab=ba$ Associative properties:$ a+(b+c)=(a+b)+c,\qquad a(bc)=(ab)c$ Distributive property: $\quad A(x+y)=Ax+Ay$ --- $ 5y+3+6y=\qquad$ ...commutative property: $3$ and $6y$ can change places $=5y+6y+3=$ ...associative property: we can add any pair we like, first $=(5y+6y)+3$ ... recognize the distribution $=y(5+6)+3$ ... parentheses first, $=y\cdot 11+3$ ... multiplication is commutative, y and 11 can change places = $11y+3$
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