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, Problem 64RE
To determine

To simplify x+hxh by using appropriate operations.

Expert Solution

Answer to Problem 64RE

The answer is 1x+h+x .

Explanation of Solution

Given information:

  x+hxh

Formula used:

Rationalizing the numerator − ABC

multiplying numerator and denominator by conjugate radical A+BC

Difference of Squares :- A2B2=(AB)(A+B)

Calculations:

  =x+hxh

Multiplying denominator and numerator by x+h+x .

  =x+hxh×x+h+xx+hx=(x+h)xh(x+hx)=x+hxh(x+hx)=hh(x+hx)

  =1(x+h+x) ( because h )

After simplifying we get 1x+h+x .

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