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all14

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

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


451.92a
$=x^8-8x^2y^2+16y^4=$
$=(x^4-4y^2)^2=$
$=(x^2-2y)^2(x^2-2y)^2$

451.92b
$=16/25a^2b^2-8/15abc+1/9c^2=$
$=(4/5ab-1/3c)^2$

451.93
$=3a^6b^2y-3a^4by^2+3/4a^2y^3=$
$=3a^2y(a^4b^2-a^2by+1/4y^2)=$
$=3a^2y(a^2b-1/2y)^2$


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