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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q 264. (page 728)

Multiply the binomials. Use any method.
$(2 x y + 3) (3 x y + 2)$

Short Answer

Expert verified

The required answer is $6 x^{2} y^{2} + 13 x y + 6$ .

Step by step solution

01

Step 1. Given information.

The given binomial is $(2 x y + 3) (3 x y + 2)$ .

02

Step 2. Simplify the expression.

By using the FOIL method.

$(2 x y + 3) (3 x y + 2) = 2 x y \times 3 x y + 2 x y \times 2 + 3 \times 3 x y + 3 \times 2 = 6 x^{2} y^{2} + 13 x y + 6$

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