Question

把多项式a（x*2-2x）²-2ax（2-x）+a分解因式

Answer 1

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

Answer 2

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