分解因式(1)m^2(m-n)-4(n-m)^2 (2)2a(x-y)^3+2a^3(y-x)(3)-2x^3+3x^2
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分解因式
(1)m^2(m-n)-4(n-m)^2
(2)2a(x-y)^3+2a^3(y-x)
(3)-2x^3+3x^2-x
(4)-x^n+4+x^n+1
2.如果3x^2-4x+2m在实数范围内可分解因式,求m的取值范围?
(1)m^2(m-n)-4(n-m)^2
(2)2a(x-y)^3+2a^3(y-x)
(3)-2x^3+3x^2-x
(4)-x^n+4+x^n+1
2.如果3x^2-4x+2m在实数范围内可分解因式,求m的取值范围?
![分解因式(1)m^2(m-n)-4(n-m)^2 (2)2a(x-y)^3+2a^3(y-x)(3)-2x^3+3x^2](/uploads/image/z/16614707-59-7.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%281%29m%5E2%28m-n%29-4%28n-m%29%5E2+%282%292a%28x-y%29%5E3%2B2a%5E3%28y-x%29%283%29-2x%5E3%2B3x%5E2)
(1)m^2(m-n)-4(n-m)^2=-m^2(n-m)-4(n-m)^2=(n-m)(-m^2-4(n-m))
(2)2a(x-y)^3+2a^3(y-x)=2a(x-y)^3-2a^3(x-y)=(x-y)(2a(x-y)^2-2a^3)
(3)-2x^3+3x^2-x=-x(2x^2-3x+1)=-x(2x-1)(x-1)
(4)-x^(n+4)+x^(n+1)=x^(n+1)(1-x^3)
(2)2a(x-y)^3+2a^3(y-x)=2a(x-y)^3-2a^3(x-y)=(x-y)(2a(x-y)^2-2a^3)
(3)-2x^3+3x^2-x=-x(2x^2-3x+1)=-x(2x-1)(x-1)
(4)-x^(n+4)+x^(n+1)=x^(n+1)(1-x^3)
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