Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.3 - Polynomials and Special Products - Exercises - Page 31: 43

Answer

$$4x^2+12x+9$$

Work Step by Step

In order to solve this problem, we must use the FOIL method. This means that we multiply the first terms in each factor by each other. Then, we multiply the two outer terms by each other. Next, we multiply the two inner terms. Finally, we multiply the two terms that have yet to be multiplied by each other. Adding these together and combining like terms, we find: $$(2x+3)(2x+3) \\ 4x^2 +6x+6x+9 \\4x^2+12x+9$$
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