Question

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

Answer 1

`4x^2-20x+25`

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`

Answer 2

`4x^2-20x+25`

Explanation:

`(2x-5)^(2) \\(2x)^2+2(2x)(-5)+(-5)^2\\4x^2-20x+25`