(a)(x-1)²=x²-2x+1,(x+1)²=x²+2x+1
(b)(x²-1)²=((x+1)(x-1))²=(x-1)²(x+1)²,由a得:
(x²-1)²=(x-1)²(x+1)²=(x²-2x+1)(x²+2x+1)
假设y=x²,则
(x²-1)²=(y-1)²,由a得:
(x²-1)²=(y-1)²=y²-2y+1=y²+2y-4y+1=(y²+2y+1)-4y
由a得:
原式=(y+1)²-4y,将y=x²代入得:
原式=(x²+1)²-4x²
OK,步骤可根据个人熟练程度精简~
