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 93E
To determine

To calculate: The factor of the expression (x2+1)1/2+2(x2+1)1/2 .

Expert Solution

Answer to Problem 93E

The factor of the expression (x2+1)1/2+2(x2+1)1/2 is (x2+1)1/2(x2+3) .

Explanation of Solution

Given information:

The expression (x2+1)1/2+2(x2+1)1/2 .

Formula used:

To factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Calculation:

Consider the given expression (x2+1)1/2+2(x2+1)1/2 .

Recall that to factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

The greatest common factor of these terms is (x2+1)1/2 .

Apply it,

  (x2+1)1/2+2(x2+1)1/2=(x2+1)1/2[(x2+1)1/2(x2+1)1/2+2]=(x2+1)1/2[(x2+1)12+12+2]=(x2+1)1/2[x2+1+2]=(x2+1)1/2(x2+3)

Thus, the factor of expression (x2+1)1/2+2(x2+1)1/2 is (x2+1)1/2(x2+3) .

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