# The parts of rational expression, which is multiplied together to multiply two rational expression and product of given expression. ### 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 1.4, Problem 3E
To determine

## To fill: The parts of rational expression, which is multiplied together to multiply two rational expression and product of given expression.

Expert Solution

The numerators and denominators are multiplied together to multiply the two expressions and product of given expression is 2xx2+4x+3 .

### Explanation of Solution

The property to multiply rational expressions is,

ABCD=ACBD

The numerators and denominators are multiplied together to multiply the two expressions.

The given expression is,

2(x+1)x(x+3)=2x(x+1)(x+3)=2xx×x+3x+x+1×3(DistributiveProperty)=2xx2+4x+3(Combinetermsindenominator)

Thus, the numerators and denominators are multiplied together to multiply the two expressions and product of given expression is 2xx2+4x+3 .

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