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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 8: Q 8.36. (page 921)

Multiply: $\frac{6 x^{3} y}{7 x^{2}} 路 \frac{2 x y^{3}}{x^{2} y}$ .

Short Answer

Expert verified

The required answer is $\frac{12 y^{3}}{7}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$\frac{6 x^{3} y}{7 x^{2}} 路 \frac{2 x y^{3}}{x^{2} y}$

02

Step 2. Simplify the expression.

$\frac{6 x^{3} y}{7 x^{2}} 路 \frac{2 x y^{3}}{x^{2} y}$

Multiply the numerators and denominators,

role="math" localid="1647863177036" $\frac{6 x^{3} y 路 2 x y^{3}}{7 x^{2} 路 x^{2} y}$

Factor the numerator and denominator completely, and then remove common factors,

$\frac{2 路 3 路 x 路 x 路 x 路 y 路 2 路 x 路 y 路 y 路 y}{7 路 x 路 x 路 x 路 x 路 y}$

Simplify,

$\frac{12 y^{3}}{7}$

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