Question

How would you factor 4-25v^2?

Answer 1

What do you think the answer could be?

Answer 2

I dont know. D:

Answer 3

You need to square root both of those this is called diffrence of squares

Answer 4

Whats the sqaure root of 25?

Answer 5

5

Answer 6

Whats the square root of 4?

Answer 7

2

Answer 8

Good so now we put them together and our answer would be...
\[\huge~(−5v+2)(5v+2) \]

Answer 9

And when you try to FOIL it you will get the same thing as
4-25v^2

Answer 10

Ive never seen this type of factoring. But ok, i see what you did

Answer 11

Thanks!

Answer 12

You're welcome :)

Answer 13

Here
Two terms that are squared and separated by a subtraction sign like this:

a2 - b2

Useful because it can be factored into (a+b)(a−b)
http://www.mathsisfun.com/definitions/difference-of-squares.html

Answer 14

if that makes it better :)