# The Simplify form multiplication or division of the expression, 4 x x 2 − 4 ⋅ x + 2 16 x ### 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 1.4, Problem 23E
To determine

## To calculate: The Simplify form multiplication or division of the expression,  4xx2−4⋅x+216x

Expert Solution

The simplified form of the expression is, 14x8

### Explanation of Solution

Given information:

The expression is given as: 4xx24x+216x

Formula used:

The algebraic identity: a2b2=(ab)(a+b)

Calculation:

Consider the equation , 4xx24x+216x

Rewrite the equation, 4x(x2)(22)x+216x

Apply the identity in denominator, a2b2=(ab)(a+b) ,

And by split the denominator,

Therefore, the equation is,

4xx24x+216x=4x(x2)(x+2)x+244x=14(x2)=14x8

Thus, the given expression is: 14x8

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