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 19E
To determine

To calculate: Simplify form of the expression, y2+yy21

Expert Solution

Answer to Problem 19E

The simplified form of the expression is, y(y1)

Explanation of Solution

Given information:

The expression is given as: y2+yy21

Formula used:

The algebraic identity: a2b2=(ab)(a+b) ,

Calculation:

Consider the equation , y2+yy21

The expression is as, y2+yy212=y2+y(y+1)(y1)

Therefore, the given equation is, y2+yy21

Apply the algebraic identity in the denominator, a2b2=(ab)(a+b) ,

, Rewrite the expression: y2+yy212=y2+y(y+1)(y1)

Strike the common term in the numerator,

  y2+y(y+1)(y1)=y(y+1)(y+1)(y1)=y(y1)

The above expression can’t be simplified further.

Thus, the given expression is: y(y1)

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!