Answer
$4d^2-4d+1$.
Work Step by Step
The given expression is
$=(-1+2d)^2$
$=(2d-1)^2$
Use formula $(a-b)^2=a^2-2ab+b^2$.
We have $a=2d$ and $b=1$.
$=(2d)^2-2(2d)(1)+(1)^2$
Simplify.
$=4d^2-4d+1$
Hence, the product is $4d^2-4d+1$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 7 - Polynomial Equations and Factoring - Chapter Review - Page 410: 16
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