Question

请你模仿以上方法尝试对多项式(x²-2x）（x²-2x+2）+1进行因式分解

Answer 1

(x²-2x）（x²-2x+2）+1

=(x²-2x)²+2(x²-2x)+1

=[(x²-2x)+1]²

=(x²-2x+1)²

=(x-1)^4