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 1.4, 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

Answer to Problem 3E

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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