作业帮化简a^4-2a^2c^2+a^2b^2-b^2c^2+c^4=0
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/22 16:40:35
化简a^4-2a^2c^2+a^2b^2-b^2c^2+c^4=0
因式分解：4x^2-4x-y^2+4y-3
因式分解：4x^2-4x-y^2+4y-3
a^4-2a^2c^2+a^2b^2-b^2c^2+c^4=0
=>[a^4-2a^2c^2+c^4]+a^2b^2-b^2c^2=0
=>[a^2-c^2]^2+b^2[a^-c^2]=0
=>[a^2-c^2][a^2-c^2+b^2]=0
=>[a-c][a+c][a^2-c^2+b^2]=0
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4x^2-4x-y^2+4y-3
=4x^2-4x+1-y^2+4y-4
=[2x-1]^2-[y-2]^2
＝【2x-1-y+2】【2x-1+y-2】
=[2x-y+1][2x+y-3]
=>[a^4-2a^2c^2+c^4]+a^2b^2-b^2c^2=0
=>[a^2-c^2]^2+b^2[a^-c^2]=0
=>[a^2-c^2][a^2-c^2+b^2]=0
=>[a-c][a+c][a^2-c^2+b^2]=0
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4x^2-4x-y^2+4y-3
=4x^2-4x+1-y^2+4y-4
=[2x-1]^2-[y-2]^2
＝【2x-1-y+2】【2x-1+y-2】
=[2x-y+1][2x+y-3]
化简|c|-2|c+b|+|c-a|-4|b+a|
行列式证明|b+c c+a a+b| | a b c||a+b b+c c+a| = 2 |c a b||c+a a+b
已知a《b《0《c,化简|a-b|+|a+b|-|c-a|+2|c-b|.
设a,b,c为整数,且a*a+b*b+c*c-2a+4b-6c+14=0,求a,b,c
化简：2a-b-c/(a-b)(a-c) + 2b-a-c/(b-c)(b-a) + 2c-a-b/(c-b)(c-a)
化简(2a-b-c)/(a+b)（a-c）+(2b-c-a)/(b-c)（b-a)+(2c-a-b)/(c-b）（c-a
a>b>0>c且/a/=/b/化简/a/-/a+b/-/c-a/+/c-b/+/ac/-/-2b/
化简:|a|+|-b|-|c|；(2) |a-c|+|b+c|.
化简2c+|a+b|+|c-b|-|c-a|
化简:(2a-b-c)/(a-b)(a-c)+(2b-c-a)/(b-c)(b-a)+(2c-a-b)/(c-a)(c-
(a^2c+b^2c)(a^2c-b^c)(a^4c^2+b^4c^2) 计算
化简a(a+b)(a+c)/(a-b)(a-c) +2b^2(c-a)/(b-c)(b-a) +2c^2(a+b)/(c