Question

Which of the following is the correct factorization of this trinomial ? 

4x2 - 0x - 25  
A.

(2x - 1)(2x + 25)  
B. (2x - 5)(2x + 5)  
C. (4x - 5)(x + 5)  
D. (4x - 1)(x + 25)

Answer 1

`a^(2) - b^(2) =(a+b)(a-b) \\ 4x2 - 0x - 25 = 4x2- 25=(2x+5)(2x-5)`

Answer 2

`(2x-5)(2x+5)`

Explanation:

Given :
`4x^2 - 0x - 25`

Solution:

`4x^2 - 0x - 25`

`4x^2 - 25`

So,It can be written as
`(2x)^2 - (5)^2`

Now using identity :
`a^2-b^2=(a+b)(a-b)`

`(2x)^2 - (5)^2`

`(2x-5)(2x+5)`

So, the correct factorization of this trinomial is
`(2x-5)(2x+5)`

Hence Option B is true.