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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 427 (page 737)

In the following exercise, simplify.
$\frac{7 x}{\frac{x + 2}{\frac{14 x^{2}}{x^{2} - 4}}}$

Short Answer

Expert verified

The solution is $\frac{(x - 2)}{2 x}$

Step by step solution

01

Step 1. Given Information

$\frac{7 x}{\frac{x + 2}{\frac{14 x^{2}}{x^{2} - 4}}}$

02

Step 2. Simplify

Rewrite the complex fraction as division.

$\frac{7 x}{x + 2} 梅 \frac{14 x^{2}}{x^{2} - 4}$

Rewrite as the product of first times the reciprocal of the second.

$\frac{7 x}{x + 2} 脳 \frac{x^{2} - 4}{14 x^{2}} \frac{7 x}{x + 2} 脳 \frac{(x + 2) (x - 2)}{14 x^{2}} \frac{7 x (x - 2)}{14 x^{2}} \frac{(x - 2)}{2 x}$

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Most popular questions from this chapter

Solve each rational function inequality and write the solution in interval notation. Given the function $R (x) = \frac{(x + 1)}{(x - 4)},$ find the values of x that make the function less than or equal to 0.

For the following exercises, perform the indicated operations. $\frac{10 m^{2} + 80 m}{3 m - 9} . \frac{m^{2} + 4 m - 21}{m^{2} - 9 m + 20} 梅 \frac{5 m^{2} + 10 m}{2 m - 10}$

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In the following exercises, perform the indicated operations

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