# The common factor of the expression 2 x 2 y − 6 x y 2 + 3 x y .

### 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 65E
To determine

## To calculate: The common factor of the expression 2x2y−6xy2+3xy .

Expert Solution

The common factor of the expression 2x2y6xy2+3xy is xy(2x6y+3) .

### Explanation of Solution

Given information:

The expression 2x2y6xy2+3xy .

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 2x2y6xy2+3xy .

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 three terms have the common factor xy .

So, 2x2y6xy2+3xy can be written in simplified form as,

2x2y6xy2+3xy=xy(2x6y+3)

Thus, the common factor of the expression 2x2y6xy2+3xy is xy(2x6y+3) .

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