# How do you find the product of #(y^2-1)/(y^2-49)*(y-7)/(y+1)#?

##### 2 Answers

#### Answer:

#### Explanation:

difference of two squares rule:

in the same way:

cancel out fractions:

#### Answer:

#### Explanation:

We need to remember two things here. First, for

and

Then, we must know how to spot and factor a difference of squares:

Using this relationship, the first fraction is converted to:

Then, multiply that with the other fraction:

Of course, we have the restrictions

Remember these two things to help you spot and factor a difference of squares:

1) See if you can transform the terms into squares, for example:

etc.

2) Remember that

etc.