The simplified value of the expression ( r − 2 s ) 2 .

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 34E
To determine

To calculate: The simplified value of the expression (r−2s)2 .

Expert Solution

The value of the expression (r2s)2 is r24rs+4s2 .

Explanation of Solution

Given information:

The expression (r2s)2 .

Formula used:

The special product formula of perfect square to multiply the algebraic expressions is mathematically expressed as,

(AB)2=A22AB+B2

Calculation:

Consider the given expression (r2s)2 .

Recall the special product formula of perfect square to multiply the algebraic expressions is mathematically expressed as,

(AB)2=A22AB+B2

Apply it,

(r2s)2=(r)22(r)(2s)+(2s)2=r24rs+4s2

Thus, the value of the expression (r2s)2 is r24rs+4s2 .

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