glittergurl0101 glittergurl0101

19-03-2015
Mathematics

Answered

Can someone help me factor this?

[tex] x^{2} -4x+4[/tex]

A) [tex](x+2)^{2} [/tex]
B) [tex](x-2)^{2} [/tex]
C) [tex](x+4)^{2} [/tex]
d) [tex](x-4)^{2} [/tex]

Thanks!

Answer :

19-03-2015

(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

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