Factorise:4x2 +y2 + 4xy + 8x + 4y + 4

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

(2x)2+(y)2+(2)2+ 2(2x)(y) +2(2x)(2) +2(y)(2)

by identity (a+b+c)2 = a2+ b2+ c2=2ab + 2bc + 2ca

(2x+y+2)2

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