# The simplified value of the expression ( 2 y + 5 ) ( 2 y − 5 ) .

### 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 38E
To determine

## To calculate: The simplified value of the expression (2y+5)(2y−5) .

Expert Solution

The value of the expression (2y+5)(2y5) is 4y225 .

### Explanation of Solution

Given information:

The expression (2y+5)(2y5) .

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 (2y+5)(2y5) .

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

(A+B)(AB)=A2B2

Apply it,

(2y+5)(2y5)=(2y)2(5)2=4y225

Thus, the value of the expression (2y+5)(2y5) is 4y225 .

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