# Chapter 1 - Section 1.4 - Rational Expressions - 1.4 Exercises - Page 43: 15

$\frac{2x+1}{2x-6}$

#### Work Step by Step

First, cancel out like terms and simplify: from: $\frac{5(x-3)(2x+1)}{10(x-3)^{2}}$ to: $\frac{(2x+1)}{2(x-3)}$ then, expand the bracket: $\frac{2x+1}{2x-6}$

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