Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz - Page 510: 17



Work Step by Step

$A=a\cdot b$ ...the area of a rectangle. ...substitute $(2r+3)$ for $a$ and $(r-4)$ for $b$ in the formula. $A=(2r+3)(r-4)$ ...use the FOIL method. $A=(2r)(r)+(2r)(-4)+(3)(r)+(3)(-4)$ ...multiply coefficients and add exponents. $A=2r^{2}-8r+3r-12$ ...add like terms. $A=2r^{2}-5r-12$ The area of the stamp is $2r^{2}-5r-12$.
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