α的2次方减α的四次方 等于多少?
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a^2-a^4
=a^2(-a^2-1)
=a^2(a^2-1)
=-[a^2-1+1](a+1)(a-1)
=-[(a-1)(a+1)+1](a-1)(a+1)
=-[(a-1)^2(a+1)^2+(a+1)(a-1)]
把(a+1)(a-1)提出来
=-{[(a+1)(a-1)](a+1)(a-1)+1}
=a^2(-a^2-1)
=a^2(a^2-1)
=-[a^2-1+1](a+1)(a-1)
=-[(a-1)(a+1)+1](a-1)(a+1)
=-[(a-1)^2(a+1)^2+(a+1)(a-1)]
把(a+1)(a-1)提出来
=-{[(a+1)(a-1)](a+1)(a-1)+1}
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