中科新闻网紫微斗数软件:帮做几道因式分解题
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2 a^2-b^2+4a+2b+3
3 x^2-(p^2+q^2)x+pq(p+q)(p-q)
4 x^6+64y^6+12x^2y^2-1
5 2a^2b^2+2b^2c^2+2c^2a^2-a^4-b^4-c^4
6 x^4+4x^3+10x^2+12x+9
要步骤啊
1.x^5+x-1 = x^5+x^2-x^2+x-1 = x^2(x^3+1)-(x^2-x+1) = (x^3+x^2-1)(x^2-x+1)
2.a^2-b^2+4a+2b+3 = (a+2)^2-(b-1)^2 =(a+2+b-1)(a+2-b+1)=(a+b+1)(a-b+3)
3.双十字相乘法
x````````````-p(p-q)
x````````````-q(p+q)
交叉相乘再 相加即为一次项系数
[x-q(p+q)][x-p(p-q)]
4.5。让下班了今天晚上研究一下。。。明天告诉你
6.x^4+4x^3+10x^2+12x+9=(x^4+2x^3+3x^2)+(2x^3+4x^2+6x)+(3x^2+6x+9)=(x^2+2x+3)(x^2+2x+3)=(x^2+2x+3)^2
1. x^5+x-1
=x^5+x^2-x^2+x-1
=x^2(x+1)(x^2-x+1)-(x^2-x+1)
=(x^2-x+1)(x^3+x^2-1)
2. a^2-b^2+4a+2b+3
=(a^2+4a+4)-(b^2-2b+1)
=(a+2)^2-(b-1)^2
=(a+b+1)(a-b+3)
3. x^2-(p^2+q^2)x+pq(p+q)(p-q)
1 -q(p+q)
1 -p(p-q)
=[x-q(p+q)][x-p(p-q)]
=[x-pq-q^2][x+pq-p^2]
4. x^6+64y^6+12x^2y^2-1
(让我再想想)
5. 2a^2b^2+2b^2c^2+2c^2a^2-a^4-b^4-c^4
(让我再想想)
6. x^4+4x^3+10x^2+12x+9
=(x^4+2x^3+3x^2)+(2x^3+4x^2+6x)+(3x^2+6x+9)
=(x^2+2x+3)(x^2+2x+3)
=(x^2+2x+3)^2