(x-y)的平方分解因式
a\u7684\u5e73\u65b9\uff08x-y\uff09+b\u7684\u5e73\u65b9\uff08y-x\uff09 \u5206\u89e3\u56e0\u5f0fa^2(x-y)+b^2(y-x)
=a^2(x-y)-b^2(x-y)
=(a^2-b^2)(x-y)
=(a+b)(a-b)(x-y)
\u628a\uff08X+Y\uff09\u770b\u6210\u4e00\u4e2a\u6574\u4f53\uff0c\u6700\u540e\u7ed3\u679c\u662f\uff08X+Y-2\uff09\u7684\u5e73\u65b9
(x-y)^=x^-2xy+y^绛旓細瑙ｏ細锛坸-y锛²=锛坸-y锛夛紙x-y锛=x²-xy-xy+y²=x²-2xy+y²
绛旓細(x-y)^=x^-2xy+y^
绛旓細鍥犲紡鍒嗚В锛锛坸-y)^2 =(x-y)(x-y)=x^2-xy-xy+y^2 =x^2-2xy+y^2 鍥犲紡鍒嗚В鍘熷垯璇存槑 1銆佸垎瑙ｅ洜寮忔槸澶氶」寮忕殑鎭掔瓑鍙樺舰锛岃姹傜瓑寮忓乏杈瑰繀椤绘槸澶氶」寮忋2銆佸垎瑙ｅ洜寮忕殑缁撴灉蹇呴』鏄互涔樼Н鐨勫舰寮忚〃绀恒3銆佹瘡涓洜寮忓繀椤绘槸鏁村紡锛屼笖姣忎釜鍥犲紡鐨勬鏁伴兘蹇呴』浣庝簬鍘熸潵澶氶」寮忕殑娆℃暟銆4銆佺粨鏋滄渶鍚庡彧鐣欎笅灏忔嫭鍙凤紝鍒...
绛旓細鎵浠ワ紝瀵逛簬X-Y鐨勫钩鏂锛屾垜浠彲浠ュ皢鍏鍥犲紡鍒嗚В涓(X-Y)(X+Y)銆
绛旓細(x-y)鐨勫钩鏂-(y-x)=(x-y)^2+(x-y)=(x-y)(x-y+1)
绛旓細x-y鎷彿鐨勫钩鏂鏄痻²+y²-2xy锛涙暟a鐨刵锛坣涓鸿嚜鐒舵暟锛夋鏂规牴鎸囩殑鏄痭鏂瑰箓绛変簬a鐨勬暟锛屼篃灏辨槸閫傚悎b鐨刵娆℃柟=a鐨勬暟b銆備緥濡16鐨4娆℃柟鏍规湁2鍜-2銆備竴涓暟鐨2娆℃柟鏍圭О涓哄钩鏂规牴锛3娆℃柟鏍圭О涓虹珛鏂规牴銆傚悇娆℃柟鏍圭粺绉颁负鏂规牴銆傛眰涓涓寚瀹氱殑鏁扮殑鏂规牴鐨勮繍绠楃О涓哄紑鏂广備竴涓暟鏈夊灏戜釜鏂规牴锛岃繖涓...
绛旓細鍘熷紡=(x-y)(x-y)-(x-y)(x+y)=(x-y)(x-y-(x+y))=(x-y)(-2y)=-2y(x-y)
绛旓細鍘熷紡=(x-y)[(x-y)-(x+y)]=-2y(x-y)
绛旓細锛坸-y锛(x-y+1)
绛旓細瑙 (x-y)²-(y-x)=(y-x)²-(y-x)=(y-x)(y-x-1)閫塁
