問2題數學題!!

2006-12-07 2:32 am
Factize:

1.c²-4x²+28xy-49y²

2.25(2m-n)²-(4m+3n)²

回答 (2)

2006-12-07 2:49 am
✔ 最佳答案
1. c²-4x²+28xy-49y²
=c²-(4x²-28xy+49y²)
=c²-(2x-7y)²
=[c²+(2x-7y)] [c²-(2x-7y)]
=(c+2x-7y)(c²-2x+7y)


2. 25(2m-n)²-(4m+3n)²
=[5(2m-n)+(4m+3n)] [5(2m-n) -(4m+3n)]
=(10m-5n+4m+3n) (10m-5n-4m-3n)
=(14m-2n) (6m-8n)
=2(7m-n) * 2(3m-4n)
=4(7m-n) (3m-4n)
參考: me
2006-12-07 3:55 am
1.c²-4x²+28xy-49y²

2.25(2m-n)²-(4m+3n)²

I can help you woo.....

1) c²-4x²+28xy-49y²
=c²-(4x²-28xy+49y²)
=c²-(2x-7y)²
=[c²+(2x-7y)] [c²-(2x-7y)]
=(c+2x-7y)(c²-2x+7y)


2) 25(2m-n)²-(4m+3n)²
=[5(2m-n)+(4m+3n)] [5(2m-n) -(4m+3n)]
=(10m-5n+4m+3n) (10m-5n-4m-3n)
=(14m-2n) (6m-8n)
=2(7m-n) * 2(3m-4n)
=4(7m-n) (3m-4n)

THE END!!!!!
參考: Me


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