(x-y)^2-2y+2x+1分解因式

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(x-y)^2-2y+2x+1分解因式

(x-y)^2-2y+2x+1分解因式
(x-y)^2-2y+2x+1分解因式

(x-y)^2-2y+2x+1分解因式
(x-y)^2-2y+2x+1
=(x-y)²+2(x-y)+1
=(x-y+1)²

(x-y)^2-2(x-y)+1
将x-y看成一个未知数
=(x-y-1)^2

( x - y ) ² - 2y + 2x + 1
= ( x - y ) ² + 2 ( x - y ) + 1 ²
= ( x - y + 1 ) ²

(x-y)^2-2y+2x+1=(x-y)²+2(x-y)+1=(x-y+1)²

原式=(x-y)^2+2(x-y)+1
=(x-y+1)^2

(x-y+1)²

(x-y)^2-2y+2x+1
=(x-y)^2-2(y-x)+1
=(y-x-1)^2