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factorize the following equation:

(x-2y)2+4x-8y

( x - 2y )2 + 4x - 8y = ( x - 2y )2 + 4( x - 2y ) = ( x - 2y )( x - 2y + 4)

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x2 + 2y2 - 2 * x * 2y + 4x - 8y

x2 + 2y2 + 4x - 8y - 4xy

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(x-2y)2 + 4x-8y

x2- 2(x)(2y) +(2y)2 +4x-8y

=x2- 4xy+4y2 +4x-8y

=x2-4(xy-y2-x+2y)

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