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: 36

Answer

$ 2(m+5)(m-5)$.

Work Step by Step

The given polynomial is $= 2m^2-50$ Factor out $2$. $= 2(m^2-25)$ Write the the polynomial as $a^2-b^2$. $= 2(m^2-5^2)$ Use difference of two square pattern $a^2-b^2=(a+b)(a-b)$. We have $a=m$ and $b=5$. $= 2(m+5)(m-5)$ Hence, the factor is $ 2(m+5)(m-5)$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.