几道数学题 分解因式(a-3)^2+(3-a) -16x^2y^2+12xy^5-8xz^3 x^4-46x^2+254x^2-y^2-2y-1 (^2即是平方,^4即是四次方)非零数A,B满足4A^2+B^2=4AB ,则B/A=

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几道数学题 分解因式(a-3)^2+(3-a)   -16x^2y^2+12xy^5-8xz^3     x^4-46x^2+254x^2-y^2-2y-1 (^2即是平方,^4即是四次方)非零数A,B满足4A^2+B^2=4AB ,则B/A=

几道数学题 分解因式(a-3)^2+(3-a) -16x^2y^2+12xy^5-8xz^3 x^4-46x^2+254x^2-y^2-2y-1 (^2即是平方,^4即是四次方)非零数A,B满足4A^2+B^2=4AB ,则B/A=
几道数学题 分解因式
(a-3)^2+(3-a) -16x^2y^2+12xy^5-8xz^3 x^4-46x^2+25
4x^2-y^2-2y-1 (^2即是平方,^4即是四次方)
非零数A,B满足4A^2+B^2=4AB ,则B/A=

几道数学题 分解因式(a-3)^2+(3-a) -16x^2y^2+12xy^5-8xz^3 x^4-46x^2+254x^2-y^2-2y-1 (^2即是平方,^4即是四次方)非零数A,B满足4A^2+B^2=4AB ,则B/A=
(a-3)^2+(3-a)
= (a-3)^2-(a-3)
= (a-3)(a-4)
...
-16x^2y^2+12xy^5-8xz^3
= -4x(4xy^2 - 3y^5 + 2z^3)
...
x^4-46x^2+25
= x^4 - 10x^2 + 25 - 36x^2
= (x^2 - 5)^2 - (6x)^2
= (x^2 + 6x - 5)(x^2 - 6x - 5)
...
4x^2-y^2-2y-1
= 4x^2 - (y+1)^2
= (2x+y+1)(2x-y-1)
...
4A^2+B^2=4AB
4A^2+B^2-4AB = 0
(2A-B)^2 = 0
所以
2A=B
B/A = 2