Algebra and Trigonometry 10th Edition

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

Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 57

Answer

$(2x-1)^{2}$

Work Step by Step

Expression : $1 - 4x + 4x^{2} = (2x)^{2} - 4x + 1^{2}$ By the well known formula $(a-b)^{2} = a^{2} -2ab + b^{2}$ Hence, $1 - 4x + 4x^{2} = (2x)^{2} - 2(2x)(1) + 1^{2} = (2x-1)^{2}$
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