# Simplify form of the expression, y 2 + y y 2 − 1 ### 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 1.4, Problem 19E
To determine

## To calculate: Simplify form of the expression, y2+yy2−1

Expert Solution

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)

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