Rewrite it in the form; a^2 - 2ab + b^2, where a = 2x and b = 5
(2x)^2 - 2(2x)(5) + 5^2
Use the Square of Difference: (a - b)^2 = a^2 - 2ab + b^2
(2x - 5)^2
[tex]4x^2-20x+25=2^2x^2-2(2x)(5)+5^2=(2x)^2-2(2x)(5)+5^2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\=\boxed{(2x+5)^2=(2x+5)(2x+5)}\\\\\text{Other method}\\\\4x^2-20x+25=4x^2-10x-10x+25=2x(2x-5)-5(2x-5)\\\\=\boxed{(2x-5)(2x-5)}[/tex]
