Chapter 0.6, Problem 64E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Poiseuille’s lawThe expression for the speed of blood through an artery of radius r at a distance x from the artery wall is given by r 2 − ( r − x ) 2 .Factor and simplify this expression.

To determine

To calculate: The factored form of the expression r2(rx)2 and then simplify.

Explanation

Given Information:

The expression for the speed of blood through an artery of radius r at a distance x from the artery wall is given by r2(rx)2.

Formula used:

The difference of two squares:

x2a2=(x+a)(xa).

Calculation:

Note that the given expression r2(rx)2 is the difference of two squares, so we get

r2(rx)2=(r)2(rx</

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