考考大家數學(Factorize)

2008-01-04 2:50 am
1. 24x - 48x^2
2. ax + by + bx + ay
3. 25x^2 - 16y^2 - 10x - 8y
4. x^4 - y^4
5. x^8 - y^8
6. x^4 - x
7. x^6 - y^6
8. x^6 - y^6 - x + y
(Quite Difficult)9. x^12 - y^12
(Quite Difficult)10. 8x^(6n) - y^(3n + 9)
(Difficult)11. 16(2a + b - 1)^2 + 48a + 24b - 15
(Difficult)12. 16x^3 - 4x - 48
(Difficult)13. x^3 - 6x^2 - 16x + 96
(Very Difficult)14. Prove x^3 - y^3 = (x - y)(x^2 + xy + y^2)
邊個答得最多,邊個就係最佳回答。

回答 (2)

2008-01-11 4:56 am
✔ 最佳答案
1. 24x(1-2x)
2. (a+b)(x+y)
3. (5x+4y)(5x-4y-2)
4. (x^2+y^2)(x+y)(x-y)
5. (x^4+y^4)(x^2+y^2)(x+y)(x-y)
6. x(x-1)(x^2+x+1)
7. (x+y)(x-y)(x^2+xy+y^2)(x^2-xy+y^2)
8. (x-y)(x^6+x^4y+x^3y^2+x^2y^3+xy^4+y^5-1)
9. (x^2+y^2)(x^4-x^2y^2+y^4)(x+y)(x-y)(x^2+xy+y^2)(x^2-xy+y^2)
10.【2x^(2n)-y^(n+3)】【4x^(4n)+2x^(2n)y^(n+3)+y^(2n+6)】
11.(8a+4b-1)^2
12.4(4x^3-x-12)
13.(x+4)(x-6)(x+6)
14. L.H.S.=x^3 - y^3
R.H.S.=(x - y)(x^2 + xy + y^2)
=x^3+x^2y+xy^2-x^2y-xy^2-y^3
=x^3-y^3
參考: me
2008-01-04 3:01 am
1. 24x(1-2x)
2. (a+b)(x+y)
3. 5x(5x-2)-8y(2y+1)
4. (x-y)^4
5. (x-y)^8
6. x(x^3-1)
7. (x-y)^6
8. x(x^5-1)-y(y^5-1)
9. (x-y)^12
參考: 自己


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