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 1.4, Problem 15E
To determine

To calculate: The simplified form the expression, x2x24 .

Expert Solution

Answer to Problem 15E

The simplified form of the expression is 1x+2 .

Explanation of Solution

Given information:

The expression x2x24 .

Formula used:

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

Calculation:

Consider the expression, x2x24 .

Rewrite the denominator in the form, a2b2 .

  x2x24=x2(x2)(22)

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

  x2x24=x2(x2)(22)=x2(x2)(x+2)

Strike off the common term,

  x2x24=x2(x2)(22)=x2(x2)(x+2)=1(x+2)

The above expression can’t be simplified further.

Thus, the simplified form of the expression is 1x+2 .

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