# The simplified value of the expression ( x 2 − a 2 ) ( x 2 + a 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 53E
To determine

## To calculate: The simplified value of the expression (x2−a2)(x2+a2) .

Expert Solution

The value of the expression (x2a2)(x2+a2) is x4a4 .

### Explanation of Solution

Given information:

The expression (x2a2)(x2+a2) .

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 (x2a2)(x2+a2) .

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

(A+B)(AB)=A2B2

Here, A=x2 and B=a2 .

Apply it,

(x2a2)(x2+a2)=(x2)2(a2)2=x4a4

Thus, the value of the expression (x2a2)(x2+a2) is x4a4 .

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