## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 5 - Test - Page 232: 15

#### Answer

$3x^2-\frac{ 4 }{y^2}+\frac{ 6}{x^2y}$

#### Work Step by Step

We divide each term of the polynomial by the monomial as follows: $$\frac{9x^4y^3 - 12x^2y + 18y^2}{3x^2y^3}=\frac{9x^4y^3 }{3x^2y^3}-\frac{ 12x^2y }{3x^2y^3}+\frac{ 18y^2}{3x^2y^3}\\ =3x^2-\frac{ 4 }{y^2}+\frac{ 6}{x^2y} .$$

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