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all01

456.159
$x^2+3bx+2b^2=$
$=x^2+(2x+x)b+2b*b=$
$=(x+2b)*(x+b)$

456.157
$6a^2-7a+2=$
$=3a*(2a-1)+2*(2a-1)=$
$=(2a-1)*(3a-2)$

456.151
$a^6-9a^3+8=$
$=(a^3)^2-9a^3+8=$
$=(a^3-8)*(a^3-1)=$
$=(a-2)*(a^2+2a+4)*(a-1)*(a^2+a+1)$

460.220
$1/8x^2z^3-8x^2y^3=$
$=x^2*(1/2z)^3+x^2*(2y)^3=$
$=x^2*(1/2z+2y)*[(1/2z)^2-zy+(2y)^2]=$
$=x^2*(1/2z+2y)*[(1/4z^2)-zy+4y^2]$

451.104
$a^4-4a^2b^2-1+4ab=$
$=a^4-(4a^2b^2+1-4ab)=$
$=a^4-(2ab-1)^2=$

$x^4-16x^2y^2-16-32xy=$
$=x^4-(16x^2y^2+16+32xy)=$
$=x^4-(4xy+4)^2=$
$=(x^2+2xy+2)*(x^2-2xy-2)$

452.118
$a^2+1/4b^2-ab-4/3ac+2/3bc+4/9c^2=$
$=(a)^2+(1/2b)^2+2*(-a)*(1/2b)+2*(-a)*(2/3c)+2*(1/2b)*(2/3c)+(2/3c)^2=$
$=(-a+1/2b+2/3c)^2$

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