F2因式分解急急急急急有10點

2011-04-28 7:52 pm
x² (x-1)²-4x(x-1)-12
連長細過程

回答 (2)

2011-04-28 8:11 pm
✔ 最佳答案

設 y = x(x-1),
x² (x-1)²-4x(x-1)-12
= y² - 4y - 12
= (y-6)(y+2)

代回 y = x(x-1)
(y-6)(y+2)
= [x(x-1) - 6][x(x-1) + 2]
= (x²-x-6)(x²-x+2)
= (x-3)(x+2)(x²-x+2)
2011-04-28 10:32 pm
x^2*(x-1)^2-4x(x-1)-12
=(x(x-1))^2-2(2)(x(x-1))+4-12
=(x(x-1))-2)^2-12
=(x^2-x-2)^2-12
=(x-2)(x+1)-12


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