The simplified value of the expression ( 3 x + 4 ) 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 29E
To determine

To calculate: The simplified value of the expression (3x+4)2 .

Expert Solution

The value of the expression (3x+4)2 is 9x2+24x+16 .

Explanation of Solution

Given information:

The expression (3x+4)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 (3x+4)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,

(3x+4)2=(3x)2+2(3x)(4)+(4)2=9x2+24x+16

Thus, the value of the expression (3x+4)2 is 9x2+24x+16 .

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