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F.2MATH

發問:

因式分解36+12a+a^2.......8m^2-8m+2.....a^2b^2-2abc+c^2.,...,.80r^2+40rs+5s^2........ .9-24(h-5k)+16(h-5k)^2

最佳解答:

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此文章來自奇摩知識+如有不便請留言告知

1. 36+12a+a^2 = 6^2 + 2(6)(a) + a^2 = (6+a)^2 2. 8m^2-8m+2 = 2(4m^2-4m+1) = 2[(2m)^2-2(2)(1)+1^2] = 2(2m-1)^2 3. a^2b^2-2abc+c^2 = (ab)^2 - 2(ab)(c) + c^2 = (ab-c)^2 4. 80r^2+40rs+5s^2 = 5(16r^2 + 8rs + s^2) = 5[(4r)^2 + 2(4r)(s) + s^2] = 5(4r+s)^2 5. 9-24(h-5k)+16(h-5k)^2 = 3^2 - 2(3)[4(h-5k)] + [4(h-5k)]^2 = [4(h-5k)-3]^2 = (4h-20k-3)^2

其他解答:

1.(a+9)^2 2.(4m-2)(2m-1) 3.?條題目好似唔是好correct. 4.(20+5s)(4+s) 5.Let (h-5k)be x . =9-24x+16x^2 = (4b-3)^2
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