Answered

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)

Verified Answer :

AyaZ

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

Answer:

\((2x-5)(2x+5)\)

Step-by-step 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.

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