# The simplified value of the expression ( y + 2 ) 3 .

### 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 41E
To determine

Expert Solution

## Answer to Problem 41E

The value of the expression (y+2)3 is y3+6y2+12y+8 .

### Explanation of Solution

Given information:

The expression (y+2)3 .

Formula used:

The special product formula of perfect cube to multiply the algebraic expressions is mathematically expressed as,

(A+B)3=A3+3AB(A+B)+B3

Calculation:

Consider the given expression (y+2)3 .

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

(A+B)3=A3+3AB(A+B)+B3

Apply it,

(y+2)3=(y)3+3(y)(2)(y+2)+(2)3=y3+6y(y+2)+8=y3+6y2+12y+8

Thus, the value of the expression (y+2)3 is y3+6y2+12y+8 .

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