how to factorize?

2008-02-12 6:11 am
1340u^3+1372(m^3-u^3)=?

回答 (2)

2008-02-12 7:12 am
✔ 最佳答案
1340u^3+1372(m^3-u^3)
= 1340u^3+1372m^3-1372u^2
= -32u^3+1372m^3
= 4 ( 343m^3 - 8u^3 )
= 4 [ ( 7m )^3 - ( 2u )^3 ]
= 4 ( 7m - 2u )( 49m^2 + 14mu + 4u^2 )

2008-02-11 23:13:53 補充:
Sor, 第二行係:1340u^3+1372m^3-1372u^3

2008-02-11 23:14:58 補充:
Formula used: a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )
參考: My Maths Knowledge
2008-02-21 10:47 pm
1340u^3+1372(m^3-u^3)=?


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