F.3 factorization(20)today!!

2009-10-13 3:55 am
1.(2x-3)^2+10x-15
ans:2(2x-3)(x+1)
2.(x+2)62-(x+2)(y-3)-6(y-3)^2
ans:(x-3y+11)(x+2y-4)
3.3(x+7)^2+(x+7)(x-6)-14(x-6)-14(x-6)^2
ans:(10x-21)(19-x)

回答 (1)

2009-10-13 4:27 am
✔ 最佳答案
1.(2x-3)2+10x-15
=(2x-3)2+5(2x-3)
=(2x-3)[(2x-3)+5]
=(2x-3)(2x+2)
=2(2x-3)(x+1)

2.(x+2)2-(x+2)(y-3)-6(y-3)2
=[(x+2)-3(y-3)][(x+2)+2(y-3)]
=(x-3y+11)(x+2y-4)

3.3(x+7) 2+(x+7)(x-6)-14(x-6)-14(x-6)2
=[3(x+7)+7(x-6)] [(x+7)-2(x-6)]-14(x-6)
=(10x-21)(-x+19)
=(10x-21)(19-x)


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