# The factors of the expression 4 t 2 − 9 s 2 .

### 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 104E
To determine

## To calculate: The factors of the expression 4t2−9s2 .

Expert Solution

The factors of the expression 4t29s2 are 2t3s and 2t+3s .

### Explanation of Solution

Given information:

The expression 4t29s2 .

Formula used:

The special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Calculation:

Consider the given expression 4t29s2 .

Rewrite it as,

4t29s2=(2t)2(3s)2

Recall the special factoring formula of difference of squares which is expressed as,

A2B2=(A+B)(AB)

Here, the values of A and B are A=2t and B=3s .

4t29s2=(2t)2(3s)2=(2t3s)(2t+3s)

Thus, the factors of expression 4t29s2 are 2t3s and 2t+3s .

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