快(10分)~~

2007-08-28 6:59 am
因式分解以下各式:

1.289-x^6y^4=
2.27-x^3=
3.16m^3+2=

回答 (1)

2007-08-28 7:32 am
✔ 最佳答案
1. 289 - x^6y^4 = 17^2 - (x^3y^2)^2 = (x^3y^2 - 17)(x^3y^2 + 17)
用a^2 - b^2 = (a + b)(a - b)

2. 27-x^3 = 3^3 - x^3 = (3-x)(3^2 + 3x + x^2)
用 a^3 - b^3 = (a - b)( a^2 + ab + b^2)

3. 16m^3+2 = 2(8m^3 + 1) = 2( (2m)^3 + 1^3 ) = 2(2m + 1)(4m^2 - 2m + 1)

用 a^3 + b^3 = (a+b) (a^2 - ab + b^2)

2007-08-28 17:21:11 補充:
(x y)(2a-3b) (x y)(2b-c) = (x y)(2a - 3b 2b - c) = (x y)(2a - b - c)先揪common factor
參考: myself


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