# The factor of the expression x 4 y 3 − x 2 y 5 .

### 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 117E
To determine

## To calculate: The factor of the expression x4y3−x2y5 .

Expert Solution

The factor of the expression x4y3x2y5 is x2y3(x+y)(xy) .

### Explanation of Solution

Given information:

The expression x4y3x2y5 .

Formula used:

The special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Calculation:

Consider the given expression x4y3x2y5 .

The common factor of these terms is x2y3 , so, rewrite it as,

x4y3x2y5=x2y3(x2y2)=x2y3((x)2(y)2)

Recall the special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Here, the values of A and B are A=x and B=y .

x4y3x2y5=x2y3(x2y2)=x2y3((x)2(y)2)=x2y3(x+y)(xy)

Thus, the factor of expression x4y3x2y5 is x2y3(x+y)(xy) .

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