象棋和国际象棋历史:因式分解

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/06 13:03:04
1. x(x-4)(x-2)^2+3

2. (1-x^2)(1-y^2)-4xy

x(x-4)(x-2)^2+3

=(X^2-4X)(X^2-4X+4)+3
=(X^2-4X)^2+4)(X^2-4X)*4+3
=(X^2-4X+1)(X^2-4X+4)
=(X^2-4X+1)(X-2)^2

(1-x^2)(1-y^2)-4xy
=1-Y^2-X^2+X^2Y^2-4XY
=(X^2Y^2-2XY+1)-(Y^2+X^2+2XY)
=(XY-1)^2-(Y+X)^2
=(XY-1-Y-X)(XY-1+X+Y)