Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 84

Answer

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

Work Step by Step

We square (expand) the binomial to obtain: $$(2x +3y)^2=(2x+3y)(2x+3y)=(2 x)^2+2\cdot (2x )\cdot (3y)+(3y)^2=4x^2+12xy+9y^2 .$$

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