因式分解(9條)

2007-07-29 8:27 pm
請詳細列明步驟及答案!!thx



1)x^2-5x+6


2)x^2+3x-54


3)10x-9-x^2


4)9x^2+6x+1


5)4-4x-3x^2


6)x^2y^2-7xy+6


7)13xy-4x^2y^2-3


8)x^2-9xy+18y^2


9)6x^2+17xy-10y^2

回答 (2)

2007-07-29 8:39 pm
✔ 最佳答案
1)x^2-5x+6
=(x - 2)(x - 3)

2)x^2+3x-54
=(x - 6)(x + 9)

3)10x-9-x^2
=-(x^2 - 10x + 9)
=-(x - 1)(x - 9)

4)9x^2+6x+1
=(3x)^2 + 2(3x)(1) + (1)^2
=(3x + 1)^2

5)4-4x-3x^2
=-(3x^2 + 4x - 4)
=-(3x - 2)(x + 2)

6)x^2y^2-7xy+6
=(xy - 1)(xy - 6)

7)13xy-4x^2y^2-3
=-(4x^2y^2 - 13xy + 3)
=-(4xy - 1)(xy - 3)

8)x^2-9xy+18y^2
=(x - 3y)(x - 6y)

9)6x^2+17xy-10y^2
=(3x + 10)(2x - 1)

因式分解好難講步驟喎!
但都係睇x^2 同 常數項 要點乘樣埋之後先得到中間個項
最主要靠多D操練

2007-07-29 14:16:56 補充:
9)6x^2 17xy-10y^2 =(3x 10y)(2x - y)
2007-07-29 8:46 pm
1)x^2-5x+6=(x-3)(x-2)
2)x^2+3x-54=(x+9)(x-6)
3)10x-9-x^2=(10-x)(1+x)
4)9x^2+6x+1=(3x+1)(3x+1)=(3x+1)^2
5)4-4x-3x^2=(2+x)(2-3x)
6)x^2y^2-7xy+6=(xy-6)(xy-1)
7)13xy-4x^2y^2-3=(-4xy+1)(xy-3)
8)x^2-9xy+18y^2=(x-6y)(x-3y)
9)6x^2+17xy-10y^2 =(2x-y)(3x+10y)


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