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: 79

Answer

$(t-3)^2$

Work Step by Step

RECALL: A perfect square trinomial can be factored using either of the following formulas: (i) $A^2-2AB+B^2=(A-B)^2$ (ii) $A^2+2AB+B^2=(A+B)^2$ The given trinomial can be written as: $=t^2-2(t)(3)+3^2$ The trinomial is a perfect square. Factor using formula (i) above with $A=t$ and $B=3$ to obtain: $=(t-3)^2$
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