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 27E
To determine

To calculate: The product of the rational expression,

  t3t2+9t+3t29

Expert Solution

Answer to Problem 27E

The product of rational expression is 1(t2+9)

Explanation of Solution

Given information:

The expression is given as:

  t3t2+9t+3t29

Formula used:

For the rational expression:

Fractions property for the multiplying rational expression:

  ABCD=ACBD

Product formula: (A+B)(AB)=A2B2

Calculation:

Consider the, rational expression

  t3t2+9t+3t29

Use the fraction property for multiplying the rational expression,

  ABCD=ACBD

  (t3)(t+3)(t2+9)(t29)

Factor the denominator by product rule,

  (t3)(t+3)(t2+9)(t3)(t+3)

Cancel the common factors from the numerator and denominator,

  1(t2+9)

Thus, the product of rational expression is 1(t2+9)

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