Factorization

2008-09-05 11:49 pm
1. x3 - x2 + 3x - 3
2. x4 - 16
3. 3(x+2)2 - 12
4. u2 + 12u + 36
5. 3p2 - p - 4

回答 (1)

2008-09-06 12:25 am
✔ 最佳答案
x^3 - x^2 + 3x -3
= x^2(x-1) + 3(x-1)
= (x-1)(x^2+3)

x^4 - 16
= (x^2-4)(x^2+4)
= (x-2)(x+2)(x^2+4)

3(x+2)^2-12
= 3[(x+2)^2-4]
=3[x+2-2][x+2+2]
=3x(x+4)

u^2+12u+36
= (u+6)^2

3p^2 - p -4
= (3p-4)(p+1)


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