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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
$(3a-1)^2-(2-a)^2=$
$=9a^2-6a+1-(4-4a+a^2)=$
$=9a^2-6a+1-4+4a-a^2=$
$=8a^2-2a-3=$
$=(2a+1)*(4a-3)$
esercizi 452.118
$a^2+1/4b^2-ab-4/3ac+2/3bc+4/9c^2=$
$=(a)^2+(1/2b)^2-ab-4/3ac+2/3bc+(2/3c)^2=$
$=(a-1/2b-2/3c)^2$
esercizi 453.121
$a^3+3a^2+3a+1=$
$=(a+1)^3$
$x^3-3x^2+3x-1=$
$=(x-1)^3$
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