Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 35

Answer

$4x^2 + 12xy + 9y^2$

Work Step by Step

$Multiply$ $the$ $algebraic$ $expressions$ $using$ $a$ $Special$ $Product$ $Formula$ $and$ $simplify:$ $(2x+3y)^2$ Use the Square of a Sum Product Formula: $(A+B)^2 = A^2 + 2AB + B^2$ $(2x+3y)^2 = (2x)^2 + (2\times 2x \times 3y) + (3y)^2$ $= 4x^2 + 12xy + 9y^2$
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