Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - Chapter 6 Review Problem Set: 5

Answer

$(5x-6)^2$

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: $=(5x)^2-2(5x)(6)+6^2$ The trinomial above is a perfect square trinomial of the form $a^2-2ab+b^2$, where $a=5x$ and $b=6$. Factor the trinomial using formula (ii) above to obtain: $=(5x-6)^2$
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