Answered

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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)

Sagot :

AyaZidn
[tex] a^{2} - b^{2} =(a+b)(a-b) \\ 4x2 - 0x - 25 = 4x2- 25=(2x+5)(2x-5)[/tex]

Answer:

[tex](2x-5)(2x+5)[/tex]

Step-by-step explanation:

Given : [tex]4x^2 - 0x - 25[/tex]

Solution:

[tex]4x^2 - 0x - 25[/tex]

[tex]4x^2 - 25[/tex]

So,It can be written as  [tex](2x)^2 - (5)^2[/tex]

Now using identity : [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex](2x)^2 - (5)^2[/tex]

[tex](2x-5)(2x+5)[/tex]

So, the correct factorization of this trinomial is [tex](2x-5)(2x+5)[/tex]

Hence Option B is true.

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