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 128E
To determine

To calculate: The common factor of the expression 12x1/2(3x+4)1/232x1/2(3x+4)1/2 .

Expert Solution

Answer to Problem 128E

The common factor of the expression 12x1/2(3x+4)1/232x1/2(3x+4)1/2 is 2x1/2(3x+4)1/2 .

Explanation of Solution

Given information:

The expression 12x1/2(3x+4)1/232x1/2(3x+4)1/2 .

Formula used:

To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Calculation:

Consider the given expression 12x1/2(3x+4)1/232x1/2(3x+4)1/2 .

Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Here, the terms have the common factor 12x1/2(3x+4)1/2 .

So, 12x1/2(3x+4)1/232x1/2(3x+4)1/2 can be written in simplified form as,

  12x1/2(3x+4)1/232x1/2(3x+4)1/2=12x1/2(3x+4)1/2[(3x+4)1/2(3x+4)1/23(x1/2x1/2)]=12x1/2(3x+4)1/2(3x+43x)=12x1/2(3x+4)1/2(4)=2x1/2(3x+4)1/2

Thus, the common factor of the expression 12x1/2(3x+4)1/232x1/2(3x+4)1/2 is 2x1/2(3x+4)1/2 .

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