Big Ideas Math - Algebra 1, A Common Core Curriculum

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 - 7.3 - Special Products of Polynomials - Exercises - Page 375: 7

Answer

$49t^2-56t+16$.

Work Step by Step

The given expression is $=(-7t+4)^2$ $=(4-7t)^2$ Use formula $(a-b)^2=a^2-2ab+b^2$. We have $a=4$ and $b=7t$. $=(4)^2-2(4)(7t)+(7t)^2$ Simplify. $=16-56t+49t^2$ Standard form. $=49t^2-56t+16$ Hence, the product is $49t^2-56t+16$.
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