1-m^2+4mn-4n^2

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1-m^2+4mn-4n^21-m^2+4mn-4n^21-m^2+4mn-4n^21-m^2+4mn-4n^2=1-(m^2-4mn+4n^2)=1-(m-2n)^2=(1-m+2n)(1+m-2n

1-m^2+4mn-4n^2
1-m^2+4mn-4n^2

1-m^2+4mn-4n^2
1-m^2+4mn-4n^2
=1-(m^2-4mn+4n^2)
=1-(m-2n)^2
=(1-m+2n)(1+m-2n)

1-m^2+4mn-4n^2
=1-(m^2-4mn+4n^2)
=1-(m-2n)^2
=[1+(m-2n)][1-(m-2n)]