x^2n+x^n-1/9y^2+1/4因式分解?我想了半天了
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x^2n+x^n-1/9y^2+1/4因式分解?我想了半天了
![x^2n+x^n-1/9y^2+1/4因式分解?我想了半天了](/uploads/image/z/20050292-20-2.jpg?t=x%5E2n%2Bx%5En-1%2F9y%5E2%2B1%2F4%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3F%E6%88%91%E6%83%B3%E4%BA%86%E5%8D%8A%E5%A4%A9%E4%BA%86)
x^2n+x^n-1/9y^2+1/4
=(x^n)^2+(x^n)+1/4-(1/9)y^2
=[(x^n)^2+(x^n)+1/4]-(1/9)y^2
=[x^n+1/2]^2-[(1/3)y]^2
=[x^n+1/2+(1/3)y]*[x^n+1/2-(1/3)y]
=(x^n)^2+(x^n)+1/4-(1/9)y^2
=[(x^n)^2+(x^n)+1/4]-(1/9)y^2
=[x^n+1/2]^2-[(1/3)y]^2
=[x^n+1/2+(1/3)y]*[x^n+1/2-(1/3)y]
(1)A=(x,y)|x+y=4,x∈N,y∈N 这个x∈N,想了半天想不出来.
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