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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 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 $(2 x y 鈥� + 鈥� 3) (3 x y 鈥� + 鈥� 2)$ .

02

Step 2. Simplify the expression.

By using the FOIL method.

$(2 x y + 3) (3 x y + 2) = 2 x y 脳鈥� 3 x y + 2 x y 脳鈥� 2 + 3 脳 3 x y + 3 脳鈥� 2 = 6 x^{2} y^{2} + 13 x y + 6$

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Most popular questions from this chapter

In the following exercises, multiply

$- 3 x^{2} (7 x^{2} + 10 x - 1)$

Simplify the polynomial.

$(15 p 鈥� 鈭� 鈥� 4) + (3 p 鈥� 鈭� 鈥� 5)$

In the following exercises, multiply

$5 a (9 a + b)$

Simplify the polynomial.

$8 t (2 t^{2} - 5 t + 6)$ .

In the following exercises, multiply the following binomials using:

鈸� the Distributive Property

鈸� the FOIL method

鈸� the Vertical Method.

$(y + 9) (y + 3)$

See all solutions

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