College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises: 35

Answer

$4(t-\frac{5}{2}^{2})$

Work Step by Step

First, factor out $4$ from the trinomial to rid the $t^{2}$ coefficient. $4t^{2}-20t+25=4(t^{2}-5t+\frac{25}{4})$ Then, use the formula $a^{2}\pm2ab+b^2=(a\pm b)^{2}$ to factor the perfect square. $4(t^{2}-5t+\frac{25}{4})=4(t-\frac{5}{2})^{2}$
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