(a—b+C)的2次方等于多少?
(a+b+ c )\u76842\u6b21\u65b9\u600e\u4e48\u7b97?=[(a+b)+c]²
=(a+b)²+2(a+b)c+c²
=a²+b²+c²+2ab+2bc+2ca
\u7b54\u6848\u662f4b(a-c)
=[(a-b)的平方十c的的平方
=a的平方一2ab十b的平方+C的平方
绛旓細瑙o細a鐨2娆℃柟-(b+c)鐨2娆℃柟 =[a+(b+c)][a-(b+c)]=(a+b+c)(a-b-c)(x+y)鐨2娆℃柟-(x-z)鐨2娆℃柟 =[(x+y)+(x-z)][(x+y)-(x-z)]=(2x+y-z)(y+z)鑻ヨ繕涓嶆竻妤氭杩庤拷闂紝鎳備簡璇峰強鏃堕噰绾 锛佺浣犲涔犺繘姝ワ紒
绛旓細a-b+c鐨勫钩鏂瑰叕寮锛坅-b+c)²=a²+b²+c²-2ab+2ac-2bc銆傚钩鏂规槸涓绉嶈繍绠楋紝姣斿a鐨勫钩鏂硅〃绀篴脳a锛岀畝鍐欐垚a²锛屼篃鍙啓鎴恆脳a锛宎鐨勪竴娆℃柟涔榓鐨勪竴娆℃柟绛変簬a鐨2娆℃柟锛屼緥濡4脳4=16锛8脳8=64锛屽钩鏂圭鍙蜂负2銆傚叕寮忓湪鏁板銆佺墿鐞嗗銆佸寲瀛︺佺敓鐗╁绛夎嚜鐒剁瀛︿腑鐢ㄦ暟瀛...
绛旓細鍥炵瓟锛=[(a-b)鐨骞虫柟鍗c鐨鐨勫钩鏂 =a鐨勫钩鏂逛竴2ab鍗乥鐨勫钩鏂+C鐨勫钩鏂
绛旓細浠f暟寮(a-b)鐨2娆℃柟鐨勫兼槸( d銆佸ぇ浜庢垨绛変簬闆 )
绛旓細(a-b+c)²=[(a-b)+c]²=(a-b)²+2c(a-b)+c²=a²-2ab+b²+2ac-2bc+c²瑙勫緥锛氫换浣曚笁涓崟椤瑰紡鐨勫拰鐨勫钩鏂癸紝绛変簬杩欎笁涓崟椤瑰紡鍒嗗埆骞虫柟鐨勫拰锛屼笌鍙﹀涓や袱鍗曢」寮忎箻绉浜鍊嶇殑鍜屻
绛旓細锛坅-b-c锛²=(a-b)²-2c(a-b)+c²=a²+b²-2ab-2ac+2bc+c²=a²+b²+c²-2ab-2ac+2bc
绛旓細= a^2+b^2+2ab 鎵浠ワ細(a+b+c+d+e)^2 浣犲氨鍏堝彲浠ユ妸姣忎釜鏁扮殑鐨勫钩鏂瑰啓鍑烘潵锛=a^2+b^2+c^2+d^2+e^2 鍐嶅姞涓婃瘡涓や釜鏁扮Н鐨勪袱鍊 2ab+2ac+2ad+2ae+2bc+2bd+2be+2cd+2ce+2de 绛旀灏绛変簬 a^2+b^2+c^2+d^2+e^2+2ab+2ac+2ad+2ae+2bc+2bd+2be+2cd+2ce+2de ...
绛旓細绛変簬a+b+c-2ab+2bc+2ca
绛旓細瑙f瀽杩囩▼锛锛坅+b+c锛夌殑2娆℃柟=[(a+b)+c]=(a+b)+2(a+b)c+c=a+b+c+2ab+2bc+2ca锛屽钩鏂规槸涓绉嶈繍绠楋紝姣斿锛宎鐨勫钩鏂硅〃绀篴脳a锛岀畝鍐欐垚a锛屼篃鍙啓鎴恆脳a锛坅鐨勪竴娆℃柟涔榓鐨勪竴娆℃柟绛変簬a鐨2娆℃柟锛夛紝渚嬪4脳4=16锛8脳8=64锛屽钩鏂圭鍙蜂负2銆傚畬鍏ㄥ钩鏂瑰紡 瀹屽叏骞虫柟寮忔槸鎸囧鏋滄弧瓒冲浜庝竴涓叿鏈...
绛旓細杩欎釜鍙互鍒╃敤澶氶」寮忎箻娉曚箻寮灏卞ソ浜 (a+b+c)^2=(a+b+c)(a+b+c)=a^2+b^2+c^2+2ab+2ac+2bc 鍏朵粬浠ユ绫绘帹