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Question

Factorize:
x2+4xy4z2+4y2

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Solution

x2+4xy4z2+4y2
=x2+4xy+4y24z2
=x2+2.x.2y+(2y)2(2z)2
=(x+2y)2(2z)2
=(x+2y+2z)(x+2y2z).

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