因式分解:-8³b²+12ab³c-6a²b(x+2)(x-6)+16(x+2)(x+4)+(x²-4)

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因式分解:-8³b²+12ab³c-6a²b(x+2)(x-6)+16(x+2)(x+4)+(x²-4)
因式分解:-8³b²+12ab³c-6a²b
(x+2)(x-6)+16
(x+2)(x+4)+(x²-4)

因式分解:-8³b²+12ab³c-6a²b(x+2)(x-6)+16(x+2)(x+4)+(x²-4)
-8³b²+12ab³c-6a²b
=-2ab(4a²b-6b²c+3a)
(x+2)(x-6)+16
=x²-4x-12+16
=x²-4x+4
=(x+2)²
(x+2)(x+4)+(x²-4)
=x²+6x+8+x²-8x+16
=2x²-2x+24
=2(x²-x+12)