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, Problem 56RE
To determine

To simplify t31t21 by using appropriate operations.

Expert Solution

Answer to Problem 56RE

The answer is (t2+t+1)(t+1) .

Explanation of Solution

Given information:

  t31t21

Formula used:

Difference of cubes: A3B3=(AB)(A2+AB+B2)

Difference of squares : A2B2=(AB)(A+B)

Calculations:

Numerator = t31

  t31=(t1)(t2+t+1)  (i)

Denominator = t21

  t21=(t+1)(t1)  (ii)

Now, dividing equation (i) and (ii) we get,

  =(t1)(t2+t+1)(t1)(t+1)

  =(t2+t+1)(t+1) ( by cancelling (t1) )

After simplifying we get (t2+t+1)(t+1) .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!