Question

（x的二次方-2x）（x的二次方-2x+2）+1和2（a的二次方+b的二次方（a+b）的二次方-（a的二次方-b的二次方

Answer 1

(x²-2x)(x²-2x+2)+1

=(x²-2x)²+2(x²-2x)+1

=(x²-2x+1)²

=(x-1)的4次方

2(a²+b²)(a+b)²-(a²-b²)²

=2(a²+b²)(a+b)²-(a+b)²(a-b)²

=(a+b)²[2a²+2b²-(a-b)²]

=(a+b)²[a²+b²+2ab]

=(a+b)²(a+b)²

=(a+b)的4次方