Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.2 - Multiplication of Polynomials - Exercise Set - Page 338: 63

Answer

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

Work Step by Step

The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$. The square of a binomial difference is: $(A-B)^2=A^2-2AB+B^2$. Hence here: $(2x^2+3y)^2=(2x^2)^2+2\cdot2x^2\cdot3y+(3y)^2=4x^4+12x^2y+9y^2$
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