Elementary Technical Mathematics

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

Chapter 10 - Section 10.5 - Finding Factors of Special Products - Exercise - Page 354: 35


$ (2x+6)(2x+6)=4(x+3)^2 $

Work Step by Step

This is a perfect square trinomial, and hence $$ 4x^2+24x+36=(2x+6)(2x+6)=4(x+3)^2 .$$ One can check as follows $$ 4(x+3)^2=(2x+6)(2x+6)=4x^2+12x+12x+36=4x^2+24x+36 .$$
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