## Precalculus (6th Edition)

Published by Pearson

# Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 44: 56

#### Answer

$(3mn+2)^{2}$

#### Work Step by Step

Test whether this is a perfect square, $(A+B)^{2}=A^{2}+2AB+B^{2}$ First term: $A^{2}=(3mn)^{2}\Rightarrow A=3mn$ Third term: $B^{2}=(2)^{2}\Rightarrow B=2$ Test:$\qquad$ does $2AB$ equal the middle term? $2AB=2(3mn)(2)=12mn\qquad$ ... yes, it does. $\Rightarrow$This is a perfect square, $(3mn+2)^{2}$

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