Answer:
Final answer is C. [tex](2x-5)(2x-5)[/tex].
Step-by-step explanation:
Given expression is [tex]4x^2-20x+25[/tex].
We can factor that by splitting middle term into two parts then do grouping as shown below:
[tex]4x^2-20x+25[/tex]
[tex]=4x^2-10x-10x+25[/tex]
[tex]=2x(2x-5)-5(2x-5)[/tex]
[tex]=(2x-5)(2x-5)[/tex]
Which correctly matches with choice C. [tex](2x-5)(2x-5)[/tex].
Hence final answer is C. [tex](2x-5)(2x-5)[/tex].
