數學.-/\-`

2010-09-16 1:05 am
Factorize 16a² - 8a² +1.

Factorize a² - b² -c² +2bc

Factorize (a+b)² -6(a+b) +9

Factorize a^3(a-b) + b^3(b-a).

回答 (1)

2010-09-16 1:49 am
✔ 最佳答案
Factorize 16a² - 8a² +1= 8a² + 1If the question is Factorize 16a^4 - 8a² +1 := (4a²)² - 2(4a²)(1) + 1²= (4a² - 1)²= (2a - 1)² (2a +1)²
Factorize a² - b² -c² +2bc= a² - (b² - 2bc + c²)= a² - (b - c)²= (a - b + c)(a + b - c)
Factorize (a+b)² -6(a+b) +9= (a+b)² - 2(a+b)(3) + 3²= (a + b - 3)²
Factorize a^3(a-b) + b^3(b-a)= (a^3)(a - b) - (b^3)(a - b)= (a - b)(a^3 - b^3)= (a - b) (a - b) (a² + ab + b²)= (a - b)² (a² + ab + b²)


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