BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 82E
To determine

To calculate: The factor of the expression 16z224z+9 .

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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