1. x^2+2ax+a^2-b^2
2. x^4-x^2-2x-1
Please help me factorize these 2 questions step by step, thx
Factorisation Help
2007-03-24 2:17 am
回答 (2)
2007-03-24 2:30 am
✔ 最佳答案
1. x2+2ax+a2-b2= (x2+2ax+a2) - b2
= (x + a)2 – b2
= (x + a + b)(x + a – b)
2. x4-x2-2x-1
= x4-(x2+2x+1)
= x4-(x + 1)2
= (x2 + (x + 1))(x2 – (x + 1))
= (x2 + x + 1)(x2 – x – 1)
2007-03-24 2:35 am
1. x2+2ax+a2-b2
= (x2+2ax+a2) - b2
= (x + a)2 – b2
= (x + a + b)(x + a – b)
2. x4-x2-2x-1
= x4-(x2+2x+1)
= x4-(x + 1)2
= (x2 + (x + 1))(x2 – (x + 1))
= (x2 + x + 1)(x2 – x – 1)
= (x2+2ax+a2) - b2
= (x + a)2 – b2
= (x + a + b)(x + a – b)
2. x4-x2-2x-1
= x4-(x2+2x+1)
= x4-(x + 1)2
= (x2 + (x + 1))(x2 – (x + 1))
= (x2 + x + 1)(x2 – x – 1)
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