   Chapter 0.2, Problem 64E

Chapter
Section
Textbook Problem

Simplify the expressions in Exercises 57–64, given that x ,     y ,     z ,     a ,     b , and c are positive real numbers. 4 ( x 2 + y 2 ) c 2

To determine

To calculate: The simplified form of expression 4(x2+y2)c2.

Explanation

Given Information:

The provided expression is 4(x2+y2)c2.

Formula used:

For the real numbers p, q.

pqn=pnqn

where q is not equal to 0

For the real numbers p, q.

p×qn=pn×qn

For any real number p,

(pn)1n=p.

Calculation:

Consider the provided expression 4(x2+y2)c2.

Use the identity pqn=pnqn to simplify the expression,

4(x2+y2)c2=4(x2+y2)c2

Now by the use of identity p×qn=pn×qn, simplify the numerator

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