# The simplified value of the expression ( 2 x + 3 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 33E
To determine

## To calculate: The simplified value of the expression (2x+3y)2 .

Expert Solution

The value of the expression (2x+3y)2 is 4x2+12xy+9y2 .

### Explanation of Solution

Given information:

The expression (2x+3y)2 .

Formula used:

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

(A+B)2=A2+2AB+B2

Calculation:

Consider the given expression (2x+3y)2 .

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

(A+B)2=A2+2AB+B2

Apply it,

(2x+3y)2=(2x)2+2(2x)(3y)+(3y)2=4x2+12xy+9y2

Thus, the value of the expression (2x+3y)2 is 4x2+12xy+9y2 .

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