# The simplified value of the expression ( x 1 2 + y 1 2 ) ( x 1 2 − y 1 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 54E
To determine

## To calculate: The simplified value of the expression (x12+y12)(x12−y12) .

Expert Solution

The value of the expression (x12+y12)(x12y12) is xy .

### Explanation of Solution

Given information:

The expression (x12+y12)(x12y12) .

Formula used:

The special product formula of difference of squares to multiply the algebraic expressions is mathematically expressed as,

(A+B)(AB)=A2B2

Calculation:

Consider the given expression (x12+y12)(x12y12) .

Recall the special product formula of difference of squares to multiply the algebraic expressions is mathematically expressed as,

(A+B)(AB)=A2B2

Here, A=x12 and B=y12 .

Apply it,

(x12+y12)(x12y12)=(x12)2(y12)2=xy

Thus, the value of the expression (x12+y12)(x12y12) is xy .

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