Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 98

Answer

$(3x+2)^2 \ne 9x^2+4$ because the square of $3x+2$ is $9x^2+12x+4$.

Work Step by Step

RECALL: $(a+b)^2=a^2 + 2ab+b^2$ $(3x+2)^2$ does not equal $9x^2+4$ because the square of a binomial is a trinomial. Squaring the binomial gives: $(3x+2)^2 \\=(3x)^2+2(3x)(2)+2^2 \\=9x^2+12x+4$
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