更新时间2018-04-03 09:57:41
2x^2-32x^4=2x^2(1-16x^2)=2x^2(1+4x)(1-4x)
8x^2y^2-x^4-16y^4
=-(x^4-8x^2y^2+16y^4)
=-(x^2+4y^2)(x^2-4y^2)
=-(x^2+4y^2)(x=2y)(x-2y)
x^2(x-81)-16(x-81)=(x-81)(x^2-16)=(x-81)(x+4)(x-4)
x^5-x=x(x^4-1)=x(x^2+1)(x^2-1)=x(x^2+1)(x+1)(x-1)
m^3(x-2)+m(2-x)
=m^3(x-2)-m(x-2)
=m(x-2)(m^2-1)
=m(x-2)(m+1)(m-1)
(x^2+4y^2)^2-16x^2y^2
=(x^2+4xy+4y^2)(x^2-4xy+4y^2)
=(x+2y)^2*(x-2y)^2
(x^2-1)^2+9+6(1-x^2)
=(x^2-1)^2-6(x^2-1)+9
=(x^2-1-3)^2
=(x^2-4)^2
=(x+2)^2*(x-2)^2
解：根据题意
2x^2-32x^4
=2x^2(1-16x^2)
=2x^2(1+4x)(1-4x)
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