# The simplified value of the expression ( h 2 + 1 + 1 ) ( h 2 + 1 − 1 ) .

### 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 56E
To determine

## To calculate: The simplified value of the expression (h2+1+1)(h2+1−1) .

Expert Solution

The value of the expression (h2+1+1)(h2+11) is h2 .

### Explanation of Solution

Given information:

The expression (h2+1+1)(h2+11) .

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 (h2+1+1)(h2+11) .

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

(A+B)(AB)=A2B2

Here, A=h2+1 and B=1 .

Apply it,

(h2+1+1)(h2+11)=(h2+1)2(1)2=h2+11=h2

Thus, the value of the expression (h2+1+1)(h2+11) is h2 .

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