Can someone help me factor this? x^(2) -4x+4 A) (x+2)^(2) B) (x-2)^(2) C) (x+4)^(2) d) (x-4)^(2) Thanks!

Question

Can someone help me factor this?


`x^(2) -4x+4`

A)
`(x+2)^(2)`
B)
`(x-2)^(2)`
C)
`(x+4)^(2)`
d)
`(x-4)^(2)`

Thanks!

Answer 1

(a+b)^2=a^2+2ab+b^2

(a-b)^2=a^2-2ab+b^2

x^2-4x+4=x^2- 2*2*x +2^2=(x-2)^2

The answer is B

You can check like this:

(x-2)^2=(x-2)(x-2)=x*x-2x-2x+4=x^2-4x+4