# The factors of the expression 49 − 4 y 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 103E
To determine

## To calculate: The factors of the expression 49−4y2 .

Expert Solution

The factors of the expression 494y2 are 72y and 7+2y .

### Explanation of Solution

Given information:

The expression 494y2 .

Formula used:

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

A2B2=(A+B)(AB)

Calculation:

Consider the given expression 494y2 .

Rewrite it as,

494y2=(7)2(2y)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=7 and B=2y .

494y2=(7)2(2y)2=(72y)(7+2y)

Thus, the factors of expression 494y2 are 72y and 7+2y .

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