Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 33

Answer

$(2b+13)^2$

Work Step by Step

For the polynomial $$ 4b^2 +52b +169 $$ one can see that this is a perfect square. We use the perfect square factoring formula: $(a+b)^2=a^2+2ab+b^2$ That is $$ 4b^2 +52b +169=(2b+13)^2 .$$
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