(x-y)的平方分解出来是啥 (x+y)(x-y)-(x+y)的平方。求把它分解因式!!!...
\uff08x+y\uff09\u5e73\u65b9-\uff08x-y\uff09\u5e73\u65b9 \u5206\u89e3\u56e0\u5f0f\uff08x+y\uff09\u5e73\u65b9-\uff08x-y\uff09\u5e73\u65b9 \u5206\u89e3\u56e0\u5f0f
=\uff08x+y+x-y\uff09\uff08x+y-x+y\uff09
=2x*2y
=4xy
\u4ed6\u4eec\u90fd\u6709x+y\u6240\u4ee5\u628ax+y\u63d0\u51fa\u6765
\u5f97\u5230(x+y)(x-y-x-y)=-2y(x+y)
绛旓細(x-y)^=x^-2xy+y^
绛旓細鍥犲紡鍒嗚В锛氾紙x-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(x-y)鐨勫钩鏂-(y-x)=(x-y)^2+(x-y)=(x-y)(x-y+1)
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(x-y)²-(x-y)+1/4 =[(x-y)-1/2]²=(x-y-1/2)²寰堥珮鍏翠负鎮ㄨВ绛旓紝绁濅綘瀛︿範杩涙锛併愬涔犲疂鍏搞戝洟闃熶负鎮ㄧ瓟棰樸傛湁涓嶆槑鐧界殑鍙互杩介棶锛佸鏋滄偍璁ゅ彲鎴戠殑鍥炵瓟銆傝鐐瑰嚮涓嬮潰鐨勩愰変负婊℃剰鍥炵瓟銆戞寜閽傚鏋滄湁鍏朵粬闂璇峰彟鍙戞垨鐐瑰嚮鍚戞垜姹傚姪锛岀瓟棰樹笉鏄擄紝璇疯皡瑙o紝璋㈣阿锛
绛旓細((x-y)^2)-(x+y)(x-y)= (x - y)(x -y - (x + y))= -2y(x - y)锛屽埄鐢ㄦ彁鍙栧叡鍚岀偣鐨勬柟娉瑙e嚭
绛旓細鍘熷紡=(x-y)[(x-y)-(x+y)]=-2y(x-y)
绛旓細(x-y)²-4(x-y-1)=(x-y)²-4(x-y)+2²=(x-y-2)²
绛旓細瑙 (x-y)²-(y-x)=(y-x)²-(y-x)=(y-x)(y-x-1)閫塁
绛旓細鍒嗚В鍥犲紡锛坸 -y)鐨勫钩鏂-锛 y-x)鐨勪笁娆℃柟 =(x-y)^2+(x-y)^3 =(x-y)^2(1+x-y)