Question

What is the factorization of the expression below 16x^2-25y2

Answer 1

For this case we must factor the following expression:

`16x ^ 2-25y ^ 2`

By definition, the formula of square difference states that:

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

In this case:

`a = 4x\\b = 5y`

Then, we can factor the expression as:

`(4x + 5y) (4x-5y)`

Answer:

`(4x + 5y) (4x-5y)`