1)
y²+6xy+9x²+3y+9x+4=( y²+6xy+9x²)+3(y+3x)+4=(y+3x)²+3·(y+3x)+4=
=(-1)²+3·(-1)+4=2
2)
x²-4xy+4²+2x-4y+3=(x-2y)²+2·(x-2y)+3=1²+2·1+3=6
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Verified answer
1)
y²+6xy+9x²+3y+9x+4=( y²+6xy+9x²)+3(y+3x)+4=(y+3x)²+3·(y+3x)+4=
=(-1)²+3·(-1)+4=2
2)
x²-4xy+4²+2x-4y+3=(x-2y)²+2·(x-2y)+3=1²+2·1+3=6