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all08

444.2
$x^3+x=x(x^2+1)$
$xy-7x=y(x-7)$
$a-ab=a(1-b)$
$x+2xy=x(1+2y)$

444.7
$3a^2b-ab^2+abc=ab(3a-b+c)$
$2a^3b-4a^2b^2+2ab^3=2ab(a^2-2ab+b^2)$
$-2ab^3+2a^2b-6a^2b^2=2ab(-b^2+a-3ab)$

447.46
$2ay+2by+2cy-2a^2-2ab-2ac=$
$=2y(a+b+c)-2a(a-b-c)=$
$=2(a+b+c)(y-a)$

453.121
$a^3+3a^2+3a+1=(a+1)^3$
$x^3-3x^2+3x-1=(x-1)^3$

453.126
$2a^6b^9-6a^4b^6+6a^2b^3-2=2(a^2b^3-1)^3$
$1/3x^6y+2x^4y^2+4x^2y^3+8/3y^4=$
$=1/3y*(x^6+5/3x^4y+11/3x^2y^2+7/3y^3)=$
$=1/3y*(x^+2y)^3$

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