（a+b）的四次方。（a-b）的四次方。等于多少?发照片也可以。绝对采纳 (a-b)的四次方等于多少
(a+b)\u7684\u56db\u6b21\u65b9-(a-b)\u7684\u56db\u6b21\u65b9\u600e\u4e48\u7b97\uff1f\u6c42\u8be6\u89e3\u3002\u8c22\u8c22\u5927\u5bb6\uff08a+b\uff09⁴-\uff08a-b\uff09⁴
=\u3010\uff08a+b\uff09²+\uff08a-b\uff09²\u3011\u3010\uff08a+b\uff09²-\uff08a-b\uff09²\u3011
=\uff082a²+2b²\uff09\uff084ab\uff09
= 8ab\uff08a²+b²\uff09
\u5982\u56fe
(a+b)⁴=a⁴+4a³b+6a²b²+4ab³+b⁴
(a-b)⁴=a⁴-4a³b+6a²b²-4ab³+b⁴
自己动手算一下不就出来了麽
绛旓細鏉ㄨ緣涓夎褰㈢殑绯绘暟濡備笅锛( a-b)鐨勫洓娆℃柟浣嶄簬绗簲琛岋紝鎵浠ワ紝绯绘暟鏄細1锛4锛6锛4锛1锛屽啀鑰冭檻鍒扮鍙凤紝鎵浠ョ瓟妗堟槸锛(a-b)^4=a^4-4a^3*b+6a^2*b^2-4a*b^3+b^4
绛旓細=锛坅^2+b^2+2ab锛^2 =a^4+(b^2+2ab)^2+2a^2(b^2+2ab) =a^4+b^4+4a^2b^2+4ab^3+2a^2b^2+4a^3b
绛旓細(a-b)骞虫柟(a-b)骞虫柟 =锛坅鏂-2ab+b鏂癸級锛坅鏂-2ab+b鏂癸級 =锛坅鏂-2ab+b鏂癸級鐨勫钩鏂 =a鐨勫洓娆℃柟-4a鏂筨鏂+b鐨勫洓娆℃柟
绛旓細=(a-b)^4+(a+b)^4+2(a+b)²(a-b)²-(a+b)²(a-b)²=[(a-b)²+(a+b)²]²-(a²-b²)²=(2a²+2b²)²-(a²-b²)²=(2a²+2b²-a²+b²)(2a²+2...
绛旓細锛坅-b锛夌殑4娆℃柟涔樹互锛坆-a锛夌殑2娆℃柟 =(a-b)鐨4娆℃柟(a-b)鐨2娆℃柟 =(a-b)鐨(4+2)娆℃柟 =(a-b)鐨6娆℃柟
绛旓細鏄殑銆(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-b)^4-(a-b)^2=(a-b)^2[(a-b)^2-1]=(a-b)^2(a-b+1)(a-b-1)
绛旓細锛坅-b锛夌殑鍥涙鏂梅锛坆-a锛夌殑涓夋鏂 =b-a;璇烽噰绾 濡傛灉浣犺鍙垜鐨勫洖绛旓紝鏁鍙婃椂閲囩撼锛寏濡傛灉浣犺鍙垜鐨勫洖绛旓紝璇峰強鏃剁偣鍑汇愰噰绾充负婊℃剰鍥炵瓟銆戞寜閽 ~~鎵嬫満鎻愰棶鐨勬湅鍙嬪湪瀹㈡埛绔彸涓婅璇勪环鐐广愭弧鎰忋戝嵆鍙倊浣犵殑閲囩撼鏄垜鍓嶈繘鐨勫姩鍔 ~~O(鈭鈭)O锛岃寰楀ソ璇勫拰閲囩撼锛屼簰鐩稿府鍔 ...
绛旓細a鐨4娆℃柟鍑忓幓b鐨勫洓娆℃柟鍥犲紡鍒嗚В涓(a-b)*(a+b)*(a^2+b^2)銆傝В锛歛^4-b^4 =(a^2)2-(b^2)^2 =(a^2-b^2)*(a^2+b^2)=(a-b)*(a+b)*(a^2+b^2)鍗砤^4-b^4=(a-b)*(a+b)*(a^2+b^2)銆
