Factorize
1) 4x^2-12x+9 2) 2x^2-5x+3
Hence or otherwise,factorize (2x^3-5x^2+3x)-(8x^2-24x+18)
唔識做功課9
2013-03-29 8:55 pm
回答 (1)
2013-03-29 9:15 pm
✔ 最佳答案
1) 4x^2-12x+9 = (2x)^2-2(2x)(3)+(3)^2 = (2x-3)^22) 2x^2-5x+3 = 2x^2-2x-3x+3 = (2x^2-2x)-(3x-3) = 2x(x-1)-3(x-1) = (2x-3)(x-1)
Hence (2x^3-5x^2+3x)-(8x^2-24x+18)
= x(2x^2-5x+3)-2(4x^2-12x+9)
= x(2x-3)(x-1)-2(2x-3)^2
=(2x-3)[x(x-1)-2(2x-3)]
=(2x-3)(x^2-x-4x+6)
=(2x-3)(x^2-5x+6)
=(2x-3)(x-2)(x-3)
收錄日期: 2021-04-13 19:23:37
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130329000051KK00116