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 71E
To determine

To calculate: The expression 1(x+h)21x2h

Expert Solution

Answer to Problem 71E

  1(x+h)21x2h=(h+2x)x2(x+h)2

Explanation of Solution

Given information:

Given expression is 1(x+h)21x2h

Consider the expression as 1(x+h)21x2h

Now,

  1(x+h)21x2h=x2(x+h)2x2(x+h)2h=x2(x2+h2+2xh)hx2(x+h)2=x2x2h22xhhx2(x+h)2=h(h+2x)hx2(x+h)2=(h+2x)x2(x+h)2

Therefore, simplest form of the expression 1(x+h)21x2h=(h+2x)x2(x+h)2

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