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

Step 1. Given Information

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

Step 2. Simplify

Rewrite the complex fraction as division.

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

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

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify

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In the following exercise, simplify.7xx+214x2x2-4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

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