Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-5 Quadratic Equations - Practice and Problem-Solving Exercises - Page 231: 74

Answer

$4x^2-4x+1$

Work Step by Step

Recall: $(a-b)^2=a^2-2ab+b^2$ Use the formula above with $a=2x$ and $b=1$ to obtain: \begin{align*} (2x-1)(2x-1)&=(2x-1)^2\\ &=(2x)^2-2(2x)(1)+1^2\\ &=4x^2-4x+1 \end{align*}
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