（b-a）的四次方等于好多 (a-b)的四次方*(b-a)的五次方等于多少
(a-b)\u7684\u56db\u6b21\u65b9\u7b49\u4e8e\u591a\u5c11\uff1f\u7b54\u6848\u662fa\u7684\u5e73\u65b9\uff0c\u56e0\u4e3aa\u7684\u56db\u6b21\u65b9\u662fa\u7684\u56db\u6b21\u65b9
\u518d\u52a0\u4e00\u4e2a\u7b97\u6570\u5e73\u65b9\u6839\u7684\u8bdd\uff0c\u6839\u53f7\u5c31\u548c\u56db\u7ea6\u4e86\uff08\u7b97\u672f\u5e73\u65b9\u6839\u4ee3\u8868\u4e8c\uff09\u6240\u4ee5\u662fa²
-\uff08a-b\uff09\u7684\u4e5d\u6b21\u65b9
=(a²-2ab+b²)²=(a²+b²)²-4ab(a²+b²)+(2ab)²
=a的4次方+2a²b²+b的4次方-4a³b-4ab³+4a²b²
=a的4次方+6a²b²+b的4次方-4a³b-4ab³
(b - a)^4
= (a - b)^4
= a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4
绛旓細=a鐨4娆℃柟+6a²b²+b鐨4娆℃柟-4a³b-4ab³
绛旓細=a鐨4娆℃柟+6a²b²+b鐨4娆℃柟-4a³b-4ab³
绛旓細鏄鐨勩(b锛峚)^4=(a锛峛)^4 鍦ㄨ繖涓棶棰樹腑锛屾垜浠槸灏哸锛峛鐪嬫垚涓涓暣浣撴潵鐪嬪緟鐨勮瘽锛岃繖涓や釜鏄悓绫婚」銆
绛旓細(a涓b)⁵(b涓a)⁴=(a涓b)⁹銆
绛旓細锛坅-b锛夌殑浜旀鏂•锛坆-a锛夌殑鍥涙鏂 =(a-b)^5x(a-b)^4 =(a-b)^9
绛旓細瑙ｏ細 锛坆 - a锛⁴ 锛坅 - b锛³= 銆 -锛坅 - b锛夈⁴ 锛坅 - b锛³= 锛坅 - b锛⁴ 锛坅 - b锛³= 锛坅 - b锛⁴ ⁺ ³= 锛坅 - b锛⁷
绛旓細锛坆-a锛夌殑鍥涙鏂鍙互杞崲鎴愶紙a-b)鍥涙鏂癸紝鎵浠鏄(a-b)鐨7娆℃柟
绛旓細绛旀a-b 锛坆-a)^4=(a-b锛塣4 锛坅-b)^5/(a-b)^4=a-b
绛旓細1. (a-b)²脳(b-a)鍥涙鏂= (a-b)²*(a-b)鍥涙鏂=(a-b)鐨勫叚娆℃柟 2.锛坢-3n锛変笁娆∶楋紙3n-m锛変簲娆 =锛坢-3n锛³脳[-锛坢-3n锛変簲娆℃柟]=-(m-3n)鍏鏂
绛旓細鎶(a-b)鐨3娆℃柟*(b-a)鐨4娆℃柟鍖栦负浠ワ紙a-b锛変负搴曟暟鐨勫箓锛岀粨鏋滄槸(a-b)鐨3娆℃柟*(a-b)鐨4娆℃柟=(a-b)鐨7娆℃柟
