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 - 7.7 - Factoring Special Products - Exercises - Page 401: 8

Answer

$ (4x+13y)(4x-13y)$.

Work Step by Step

The given polynomial is $= 16x^2-169y^2$ Write the the polynomial as $a^2-b^2$. $= (4x)^2-(13y)^2$ Use difference of two square pattern $a^2-b^2=(a+b)(a-b)$. We have $a=4x$ and $b=13y$. $= (4x+13y)(4x-13y)$ Hence, the factor of the polynomial is $ (4x+13y)(4x-13y)$.
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