# The factor of the expression 16 z 2 − 24 z + 9 .

### 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 82E
To determine

Expert Solution

## Answer to Problem 82E

The factor of the expression 16z224z+9 is (4z3)2 .

### Explanation of Solution

Given information:

The expression 16z224z+9 .

Formula used:

The special factoring formula of perfect square which is expressed as,

X22XY+Y2=(XY)2

Calculation:

Consider the given expression 16z224z+9 .

Rewrite it as,

16z224z+9=(4z)22(4z)(3)+(3)2

Recall the special factoring formula of perfect square which is expressed as,

X22XY+Y2=(XY)2

Here, the values of X and Y are X=4z and Y=3 .

16z224z+9=(4z)22(4z)(3)+(3)2=(4z3)(4z3)=(4z3)2

Thus, the factor of expression 16z224z+9 is (4z3)2 .

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