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Divide the rational expressions. 5. 45x 3x+6 ÷75x³ Hint: n = n 1

Divide the rational expressions. 5. 45x 3x+6 ÷75x³ Hint: n = n 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Hello, I would like further assistance with understanding how to divide rational expresions. I attached a screenshot of the two exercises I am having difficulties with.

Divide the rational expressions. 45xA 3x+6 5. 6. +75x³ Hint: n = 45x²³,75x²³ 45.75 45.35 3+6 3 X = 45x²75x³ 3x+6 n 10x-8 25x² -16 ÷ x+2 2x - 4
Transcribed Image Text:Divide the rational expressions. 45xA 3x+6 5. 6. +75x³ Hint: n = 45x²³,75x²³ 45.75 45.35 3+6 3 X = 45x²75x³ 3x+6 n 10x-8 25x² -16 ÷ x+2 2x - 4
Expert Solution
Part(5) Step 1

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.

\frac{45x^4}{3x+6}\div 75x^3

use the division rule a\div b=a\times \frac{1}{b}

=\frac{45x^4}{3x+6}\times \frac{1}{75x^3}

=\frac{45x^4}{75x^3\left(3x+6\right)}

=\frac{45x^4}{75x^3}\times \frac{1}{3x+6}

=\frac{45}{75}\times \frac{x^4}{x^3}\times \frac{1}{3x+6}

=\frac{15\cdot 3}{15\cdot 5}\times \frac{x^4}{x^3}\times \frac{1}{3x+6}

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