Algebra 2 Common Core

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

Chapter 4 - Quadratic Functions and Equations - 4-4 Factoring Quadratic Expressions - Lesson Check - Page 221: 6

Answer

$(2x - 1)^2$

Work Step by Step

This exercise contains a perfect square trinomial, which follows the form $a^2 - 2ab + b^2 = (a - b)^2$. According to this formula, we find the square root of the first and last terms, which are $2x$ and $1$. Then we check to see if the middle term is two times the product of these two square roots, which it is. Now, we can subtract the square roots from each other and then square the difference: $(2x - 1)^2$
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