Question

Write (2x - 5)2 as a trinomial.

Answer 1

Answer:

$4x^2-20x+25$

Step-by-step explanation:

$(2x-5)^{2} \\(2x)^2+2(2x)(-5)+(-5)^2\\4x^2-20x+25$

Answer 2

Answer:

$4x^2-20x+25$

Step-by-step explanation:

You can use the formula:

$(u+v)^2=u^2+2uv+v^2$.

$(2x-5)^2=(2x)^2+2(2x)(-5)+(-5)^2$

$(2x-5)^2=4x^2-20x+25$.

You could also use foil:

$(2x-5)^2=(2x-5)(2x-5)$

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

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

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

Last: -5(-5)=25

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

$4x^2-20x+25$