HCF及LCM

2007-12-27 2:00 am
求下列各題HCF及LCM

1.  3 X (Y^2) Z , 6 (X^2) (Z^4) , 9 (X^3) Y (Z^2)
2.  (N^3) - N  , ((N-1)^2)
3.  6(X^2) +7X -3 ,2(X^2) + X - 3 ,10(X^2) +19X +6

回答 (2)

2007-12-27 3:24 am
✔ 最佳答案
1.  3 X (Y^2) Z , 6 (X^2) (Z^4) , 9 (X^3) Y (Z^2)
LCM=9(X^3)(Y^2)(Z^4)
HCF=3XZ

2.  (N^3) - N =N(N^2-1)=N(N-1)(N+1), ((N-1)^2)
LCM=N(N+1)(N-1)^2
HCF=(N-1)

3.  6(X^2) +7X -3 =(2X+3)(3X-1),
2(X^2) + X - 3 =(2X+3)(X-1),
10(X^2) +19X +6 =(2X+3)(5X+2)
LCM=(2X+3)(X-1)(3X-1)(5X+2)
HCF=(2X+3)
2007-12-27 7:14 am
1.  3 X (Y^2) Z , 6 (X^2) (Z^4) , 9 (X^3) Y (Z^2)
3 X (Y^2) Z , 3x2 (X^2) (Z^4) , 3x3 (X^3) Y (Z^2)

LCM= 3x2x3 (X^3)(Y^2)(Z^4) = 18(X^3)(Y^2)(Z^4)
HCF= 3 X Z

=======================================
2.  (N^3) - N  , ((N-1)^2)
(N) ((N^2) - 1)  , ((N-1)^2)
N(N-1)(N+1), (N-1)^2

LCM= N(N+1)(N-1)^2
HCF= N-1

=========================================
3.  6(X^2) +7X -3 ,2(X^2) + X - 3 ,10(X^2) +19X +6
(3X-1)(2X+3), (2X+3)(X-1), (5X+2)(2X+3)

LCM= (2X+3)(3X-1)(X-1)(5X+2)
HCF= (2X+3)

2007-12-30 20:17:51 補充:
第一題的LCM錯了,應該是18,不是9


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