# The factor of the expression t 2 − 6 t + 9 .

### 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 1.3, Problem 105E
To determine

Expert Solution

## Answer to Problem 105E

The factor of the expression t26t+9 is (t3)2 .

### Explanation of Solution

Given information:

The expression t26t+9 .

Formula used:

The special factoring formula of perfect square which is expressed as,

X22XY+Y2=(XY)2

Calculation:

Consider the given expression t26t+9 .

Rewrite it as,

t26t+9=(t)22(t)(3)+(3)2

Recall the special factoring formula of perfect square which is expressed as,

X22XY+Y2=(XY)2

Here, the values of X and Y are X=t and Y=3 .

t26t+9=(t)22(t)(3)+(3)2=(t3)2

Thus, the factor of expression t26t+9 is (t3)2 .

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