Answer
$$=P-2Pr+Pr^2$$
Work Step by Step
In order to find a polynomial that gives the amount after two years, we plug in 2 for t and multiply out the expression to obtain:
$$P\left(1-r\right)^2 \\ P\left(r^2-2r+1\right) \\ =P-2Pr+Pr^2$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 286: 106
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