把多项式a(x*2-2x)²-2ax(2-x)+a分解因式
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把多项式a(x*2-2x)²-2ax(2-x)+a分解因式
把多项式a(x*2-2x)²-2ax(2-x)+a分解因式
把多项式a(x*2-2x)²-2ax(2-x)+a分解因式
a(x*2-2x)²-2ax(2-x)+a
=a[(x(x-2))²-2x(2-x)+1]
=a[(x(x-2))²+2x(x-2)+1]
=a(x(x-2)+1)²
=a(x^2-2x+1)²
=a(x-1)^4
a(x*2-2x)²-2ax(2-x)+a
=a【(x*2-2x)²-2x(2-x)+1】
=a{【x(2-x)】²-2x(2-x)+1}
=a【x(2-x)-1】²
=a【-x²+2x-1】²
=a【x²-2x+1】²
=a(x-1)^4