Factorize
1) 16(x+y)² -24x (x+y)+9x²
2a) 27m^3 -1
2b) Use the result in (a) to factorize 27m^3 +9m-4
F.3 Maths
2010-09-21 1:22 am
回答 (1)
2010-09-21 1:31 am
✔ 最佳答案
1)16(x+y)² -24x (x+y)+9x²= [4(x+y)]² - 2 [4(x+y)] (3x) + (3x)²= [4(x+y) - 3x]²= (4x + 4y - 3x)²= (x + 4y)²2a)27m^3 - 1= (3m)^3 - 1^3= (3m - 1)(9m² + 3m + 1)2b)27m^3 +9m-4= 27m^3 - 1 + 9m - 3= (3m - 1)(9m² + 3m + 1) + 9m - 3= (3m - 1)(9m² + 3m + 1) + 3(3m - 1)= (3m - 1)(9m² + 3m + 1 + 3)= (3m - 1)(9m² + 3m + 4)
收錄日期: 2021-04-21 22:18:42
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https://hk.answers.yahoo.com/question/index?qid=20100920000051KK00857