Factor the polynomial.

Answer:
Final answer is choice B. [tex](5x-2y)^2[/tex]
Step-by-step explanation:
We need to factor the given expression [tex]25x^2-20xy+4y^2[/tex]
[tex]25x^2-20xy+4y^2[/tex]
[tex]=25x^2-10xy-10xy+4y^2[/tex]
[tex]=5x(5x-2y)-2y(5x-2y)[/tex]
[tex]=(5x-2y)(5x-2y)[/tex]
[tex]=(5x-2y)^2[/tex]
Hence final answer is choice B. [tex](5x-2y)^2[/tex]