Maths因式分解的問題

2009-01-01 11:10 pm
求以下因式分解的步驟~thx~

1. 9r^2-(3r-4r)^2

2. c^2(c+2)-c-2

3.(k+1)^2-(k+1)-56

4.(2x-3)^2+10x-15
更新1:

第一題打錯左~ 正確係 9r^2-(3r-4s)^2

回答 (2)

2009-01-02 7:32 am
✔ 最佳答案
1. 9r^2-(3r-4s)^2
=(9r+3r-4s)(9r-3r+4s)
=(11r-4s)(6r+4s)

2. c^2(c+2)-c-2
=c^2(c+2)-(c+2)
=(c=2)(c^2-1)

3. (k+1)^2-(k+1)-56

= (k+1)(k-1)-56

= k^2-1-56
=k^2-57

4. (2x-3)^2+10x-15

= 4x^2+9+10x-15

= 4x^2+10x-6
參考: 自己~~~希望同你做到知識友=]
2009-01-01 11:23 pm
1. 9r^2-(3r-4r)^2
= 9r^2-(-r)^2
= 9r^2-r^2
= 8r^2

2. c^2(c+2)-c-2
= c^3+2c^2-c-2

3. (k+1)^2-(k+1)-56
= (k+1)(k+1-1)-56
= (k+1)(k)-56
= k^2+k-56

4. (2x-3)^2+10x-15
= 4x^2-12x+9+10x-15
= 4x^2-2x-6
參考: me


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