分解因式:(x-1)(x-2)^2-(x-1)^3
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分解因式:(x-1)(x-2)^2-(x-1)^3
分解因式:(x-1)(x-2)^2-(x-1)^3
分解因式:(x-1)(x-2)^2-(x-1)^3
(x-1)(x-2)²-(x-1)³
=(x-1)[(x-2)²-(x-1)²]
=(x-1)(x-2+x-1)(x-2-x+1)
=(x-1)(2x-3)(-1)
=-(x-1)(2x-3)
(1-x)(2x-3)
(x-1)(3-2x)
(x-1)(x-2)^2-(x-1)^3
=(x-1)[(x-2)²-(x-1)²]
=(x-1)(x-2+x-1)(x-2-x+1)
=-(x-1)(2x-3)
-2X^2+5X-3
原式=(x-1)[(x-2)^2-(x-1)^2]
=(x-1)[(x-2-x+1)(x-2+x-1)]
=(x-1)(-1)(2x-3)
=-(x-1)(2x-3)
(x-1)(x-2)^2-(x-1)^3
=(x-1)[(x-2)^2-(x-1)^2]
=(x-1)[(x-2)-(x-1)][(x-2)+(x-1)]
=(x-1)(x-2-x+1)(x-2+x-1)
=(x-1)(-1)(2x-3)
=-(x-1)(2x-3)
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