# The simplified value of the expression ( 1 − 2 y ) 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 30E
To determine

## To calculate: The simplified value of the expression (1−2y)2 .

Expert Solution

The value of the expression (12y)2 is 4y24y+1 .

### Explanation of Solution

Given information:

The expression (12y)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 (12y)2 .

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

(AB)2=A22AB+B2

Apply it,

(12y)2=(1)22(2y)(1)+(2y)2=14y+4y2=4y24y+1

Thus, the value of the expression (12y)2 is 4y24y+1 .

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