因式分解 8a^3b^2-12ab^3c+4ab -1/2x^2+2xy-xz 2^2011-2^2010-4x^4+2x^3y [9x+3)^2+(x+3)(x-3)]/2x
问题描述：
因式分解 8a^3b^2-12ab^3c+4ab -1/2x^2+2xy-xz 2^2011-2^2010
-4x^4+2x^3y [9x+3)^2+(x+3)(x-3)]/2x
答
.............无语
答
8a^3b^2-12ab^3c+4ab
=4ab(2a²b-3b²c+1)
-1/2x^2+2xy-xz
=-x(x-4y+2z)/2
2^2011-2^2010
=2^2010(2-1)
=2^2010
-4x^4+2x^3y
=-2x³(2x-y)
[9x+3)^2+(x+3)(x-3)]/2x
=(81x²+54x+9+x²-9)/2x
=41x+27
答
8a^3b^2-12ab^3c+4ab
=4ab(2a²b-3b²c+1)
-1/2x^2+2xy-xz
=-1/2x(x+4y-2z)
2^2011-2^2010
=2^2010x2-2^2010
=2^2010(2-1)
=2^2010
-4x^4+2x^3y
=-2x^3(2x-y)
[9x+3)^2+(x+3)(x-3)]/2x
=81x^2+9+54x+x^2-9/2x
=82x^2+54x/2x
=41x+27