Question

How do you factor: `49y^2-4`?

Answer 1

`= color(blue)((7y+2)(7y-2)`

Explanation:

`49y^2-4`

The above expression can be written as:

`49y^2-4 = (7y)^2-2^2`

As per identity

`color(blue)(a^2-b^2=(a+b)(a-b)`

So,
`(7y)^2-2^2= color(blue)((7y+2)(7y-2)`