# To simplify t 3 − 1 t 2 − 1 by using appropriate operations.

### 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, Problem 56RE
To determine

## To simplify t3−1t2−1 by using appropriate operations.

Expert Solution

### 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!