# The factor of the expression 18 y 3 x 2 − 2 x y 4 .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.3, Problem 118E
To determine

## To calculate: The factor of the expression 18y3x2−2xy4 .

Expert Solution

The factor of the expression 18y3x22xy4 is 2xy3(9xy) .

### Explanation of Solution

Given information:

The expression 18y3x22xy4 .

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 18y3x22xy4 .

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.

The common factor of these terms is 2xy3 , so, rewrite it as,

18y3x22xy4=2xy3(9xy)

Thus, the factor of expression 18y3x22xy4 is 2xy3(9xy) .

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