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標題:
Maths因式分解的問題
發問:
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: 第一題打錯左~ 正確係 9r^2-(3r-4s)^2
最佳解答:
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
其他解答:
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
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