(a+b+c)的二次方等于什么？ （a+b)的三次方等于什么？ （a-b)的三次方等于多少？ （a+b+c）的二次方和三次方（a-b-c）的二次方和三次方...
(a+b+c)\u7684\u4e09\u6b21\u65b9\u7b49\u4e8e\u591a\u5c11(a+b+c)�0�6=(a�0�5+2ab+2ac+b�0�5+2bc+c�0�5)(a+b+c)=a�0�6+3a�0�5b+3a�0�5c+3ab�0�5+3b�0�5c+3bc�0�5+ac�0�5+6abc+b�0�6+c�0�6
\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\u548c\u5b8c\u5168\u7acb\u65b9\u516c\u5f0f\uff0c\uff08a+b+c)\u4e2da+b\u53ef\u89c6\u4e3a\u4e00\u4e2a\u6574\u4f53A\u4ee3\u5165\u516c\u5f0f\u4fbf\u53ef\u4e00\u6b65\u6b65\u7b97\u51fa
这个可以利用多项式乘法乘开就好了(a+b+c)^2=(a+b+c)(a+b+c)=a^2+b^2+c^2+2ab+2ac+2bc
其他以此类推
(a+b+c)²
=a²+b²+c²+2ab+2bc+2ca
(a+b)³
=a³+3a²b+3ab²+b³
(a-b)³
=a³-3a²b+3ab²-b³
(a+b+c)²
=a²+b²+c²+2ab+2bc+2ca
(a+b)³
=a³+3a²b+3ab²+b³
(a-b)³
=a³-3a²b+3ab²-b³
(a+b+c)^2=(a+b+c)(a+b+c)=a^2+b^2+c^2+2ab+2ac+2bc
(a+b)^3=(a+b)(a+b)(a+b)=a^3+b^3+3a^2b+3ab^2
(a-b)^3=(a-b)(a-b)(a-b)=a^3-b^3+3ab^2-3a^2b
(a+b+c)²=(a+b)²+2(a+b)c+c²=a²+2ab+b²+2ac+2bc+c²=a²+b²+c²+2ab+2bc+2ca
(a+b)³=(a+b)²(a+b)=(a²+2ab+b²)(a+b)=a³+2a²b+ab²+a²b+2ab²+b³
(a-b)³=(a-b)²(a-b)=(a²-2ab+b²)(a-b)=a³-2a²b+ab²-a²b+2ab²-b³
绛旓細=a^2+b^2+c^2+2ab+2ac+2bc
绛旓細绛旀灏绛変簬 a^2+b^2+c^2+d^2+e^2+2ab+2ac+2ad+2ae+2bc+2bd+2be+2cd+2ce+2de
绛旓細鍕捐偂瀹氱悊鍏紡銆a^2=a鐨勪簩娆℃柟锛宐^2=b鐨勪簩娆℃柟锛宑^2=c鐨勪簩娆℃柟銆俛鐨勪簩娆℃柟鍔燽鐨勪簩娆℃柟绛変簬c鐨勪簩娆℃柟锛屽睘浜庡嬀鑲″畾鐞嗗叕寮忋傚嬀鑲″畾鐞嗘槸涓涓嚑浣曞畾鐞嗭紝鎸囩洿瑙掍笁瑙掑舰鐨勪袱鏉＄洿瑙掕竟鐨勫钩鏂瑰拰绛変簬鏂滆竟鐨勫钩鏂广
绛旓細(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac銆傜畝浠嬶細娆℃柟锛堜唬鏁版湳璇細寮鏂癸級鏈鍩烘湰鐨勫畾涔夋槸锛氳a涓烘煇鏁帮紝n涓烘鏁存暟锛宎鐨刵娆℃柟琛ㄧず涓篴ⁿ锛岃〃绀簄涓猘杩炰箻鎵寰椾箣缁撴灉锛屽2⁴=2脳2脳2脳2=16銆傛鏂圭殑瀹氫箟杩樺彲浠ユ墿灞曞埌0娆℃柟鍜岃礋鏁版鏂圭瓑绛夈傚湪鐢佃剳涓婅緭鍏ユ暟瀛﹀叕寮忔椂锛屽洜涓轰笉渚夸簬杈撳叆涔...
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
绛旓細路锛坅+b+c锛=a²+ab+ac+b²+ab+bc+c²+ac+bc =a²+b²+c²+2ab+2ac+2bc 骞虫柟鏄竴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a²锛屼篃鍙啓鎴恆脳a(a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
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...
绛旓細鏍规嵁鍕捐偂瀹氱悊 a骞虫柟+b骞虫柟=c骞虫柟a涓巄浠ｈ〃鐩磋涓夎琛岀殑涓ょ洿瑙掕竟 c浠ｈ〃鏂滆竟 搴曡竟=鏂滆竟鐨勫钩鏂鍑忓幓楂樼殑骞虫柟锛屽緱鍒扮殑鏁板紑浜屾鏂銆
绛旓細(a+b+c)²锛歛²+b²+c²+2ab+2bc+2ca銆傚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(a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銆傜浉鍏充俊鎭細涔樻硶鍏紡灏嗕竴浜涚壒娈婄殑澶氶」寮忕浉涔樼殑缁撴灉鍔犱互鎬荤粨锛岀洿鎺ュ簲鐢ㄣ傚叕寮忎腑鐨勬瘡...
绛旓細锛坅+b+c锛夌殑浜屾鏂璁＄畻杩囩▼濡備笅 锛氬畬鍏ㄥ钩鏂瑰叕寮忓嵆(a+b)²=a²+2ab+b²銆(a-b)²=a²-2ab+b²銆傝鍏紡鏄繘琛屼唬鏁拌繍绠椾笌鍙樺舰鐨勯噸瑕佺殑鐭ヨ瘑鍩虹锛屾槸鍥犲紡鍒嗚В涓父鐢ㄥ埌鐨勫叕寮忋傝鐭ヨ瘑鐐归噸鐐规槸瀵瑰畬鍏ㄥ钩鏂瑰叕寮忕殑鐔熻鍙婂簲鐢ㄣ傞毦鐐规槸瀵瑰叕寮忕壒寰佺殑鐞嗚В(濡傚鍏紡涓Н...
