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444.10
$4xy^2+4x^2y-4x^2y^2=$
$=4xy(y+x-xy)$

444.11
$3a^3b^4+6a^2b^6-9a^4b^3+12a^3b^2=$
$=3a^2b^2(ab^2+2b^4-3a^2b+4a)$

449.71 a
$3ab^2-3a^3=
$=3a(b^2-a^2)

449.71 b
$3a^2x-3x^3=
$=3x(a^2-x^2)

449.81 a
$4(a+b)^2-9(a-b)^2=
$=(5a-b)(5b-a)

449.81 b
$(2a+3)^2-(a-1)^2=
$=(3a+2)(a+4)

449.83 a
$(2a+1)^2-(a-1)^2=
$=3a(a+2)

449.83 b
$(3a-1)^2-(2-a)^2=
$=(2a+1)(4a-3)

esercizi 449.83 a
$(2a+1)^2-(a-1)^2)=$
$=4a^2+4a+1-(a^2-2a+1)=$
$=4a^2+4a+1-a^2+2a-1=$
$=3a^2+6a=$
$=3a(a+2)$

esercizi 449.83 b
$(3a-1)^2-(2-a)^2=$
$=9a^2-6a+1-(4-4a+a^2)=$
$=9a^2-6a+1-4+4a-a^2=$
$=8a^2-2a-3=$
$=(2a+1)*(4a-3)$

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

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

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

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

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