Question

请各位大神回答一道因式分解题。。求助！

(2-x^2)^2+2x(x^2-2)+x^2

Answer 1

(2-x²)²+2x(x²-2)+x²
=(x²-2)²+2x(x²-2)+x²
=(x²-2+x)²
=[(x-1)(x+2)]²
=(x-1)²(x+2)²

Answer 2

=(2-x^2)^2 -2X(2-X^2)+X^2 这是一个完全平方
=(2-x^2+X)^2
=(X+2)^2(X-1)^2