Respuesta :

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

[tex](2x-5)^{2} \\(2x)^2+2(2x)(-5)+(-5)^2\\4x^2-20x+25[/tex]

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

You can use the formula:

[tex](u+v)^2=u^2+2uv+v^2[/tex].

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

[tex](2x-5)^2=4x^2-20x+25[/tex].

You could also use foil:

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

First: 2x(2x)=4x^2

Outer: 2x(-5)=-10x

Inner: -5(2x)=-10x

Last: -5(-5)=25

--------------------------Add.

[tex]4x^2-20x+25[/tex]