
因式分解急!!!!!!!!!!!!
45am^2-20ax^2+20axy-5ay^2(a-b)^2n-1+2(b-a)^2n+(a-b)2n+1...
45am^2-20ax^2+20axy-5ay^2
(a-b)^2n-1 +2(b-a)^2n +(a-b)2n+1 展开
(a-b)^2n-1 +2(b-a)^2n +(a-b)2n+1 展开
1个回答
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45am^2-20ax^2+20axy-5ay^2
=5a(9m²-(4x²-4xy+y²))
=5a(9m²-(2x-y)²)
=5a(3m+2x-y)(3m-2x+y)
(a-b)^2n-1 +2(b-a)^2n +(a-b)2n+1
=(a-b)^(2n-1)*[1+2(a-b)+(a-b)²]
=(a-b)^(2n-1)*(1+a-b)²
=5a(9m²-(4x²-4xy+y²))
=5a(9m²-(2x-y)²)
=5a(3m+2x-y)(3m-2x+y)
(a-b)^2n-1 +2(b-a)^2n +(a-b)2n+1
=(a-b)^(2n-1)*[1+2(a-b)+(a-b)²]
=(a-b)^(2n-1)*(1+a-b)²
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