分解因式:2m(m-n)^3+6(n-m)^2
\u5206\u89e3\u56e0\u5f0f:(m+2n)^2-(2m-n)^2=(m+2n+2m-n)(m+2n-2m+n)
=(3m+n)(-m+3n)
(m+n)^3+2m\uff08m+n\uff09^2+m^2\uff08m+n)
=(m+n)[\uff08m+n\uff09^2+2m\uff08m+n\uff09+m^2]
\u4e2d\u62ec\u53f7\u662f\u5b8c\u5168\u5e73\u5206\u5f0f
\uff08m+n\uff09^2+2m\uff08m+n\uff09+m^2
=[(m+n)+m]^2
\u5219\u4e0a\u5f0f=(m+n)[\uff08m+n\uff09^2+2m\uff08m+n\uff09+m^2]
=(m+n)[(m+n)+m]^2
=(m+n)(2m+n)^2
=2（m-n)^2*(m^2-mn+3)
只能化成这样了
2a(a+b-c)-3b(a+b-c)+5c(c-a-b)
=（2a-3b-5c)(a+b-c)
分别是35x^3y^2和-3x^2y^2
2m(m-n)³+6(n-m)²=2(m-n)²(m²-mn+3)
2a(a+b-c)-3b(a+b-c)+5c(c-a-b) =(a+b-c)(2a-3b-5c)
（21X^4Y^3 - (35x³y²) +7X^2Y^2）÷（-7X^2Y）= (-3x²y²)+5XY-Y
1.2a(a+b-c)-3b(a+b-c)+5c(c-a-b) =2a(a+b-c)-3b(a+b-c)-5c(a+b-c) =(a+b-c)(2a-3b-5c)
绛旓細2m(m-n)³+6(n-m)²=2(m-n)²(m²-mn+3)2a(a+b-c)-3b(a+b-c)+5c(c-a-b) =(a+b-c)(2a-3b-5c)锛21X^4Y^3 - (35x³y²) +7X^2Y^2锛壝凤紙-7X^2Y锛= (-3x²y²)+5XY-Y ...
绛旓細2m(m-n)^3+6(n-m)^2 =2锛坢-n)^2*(m^2-mn+3)鍙兘鍖栨垚杩欐牱浜 2a(a+b-c)-3b(a+b-c)+5c(c-a-b)=锛2a-3b-5c)(a+b-c)鍒嗗埆鏄35x^3y^2鍜-3x^2y^2
绛旓細鎴戠殑 鍥犲紡鍒嗚В:(m-n)鐨勪簩娆℃柟+2(m-n)鐨涓娆℃柟 1涓洖绛 #鐑# 鑱屽満涓婂彈濮斿眻瑕佷笉瑕佷负鑷繁瑙ｉ噴?鑲栧厜骞 2014-07-29 路 TA鑾峰緱瓒呰繃4涓囦釜璧 鐭ラ亾澶ф湁鍙负绛斾富 鍥炵瓟閲:2500 閲囩撼鐜:53% 甯姪鐨勪汉:1135涓 鎴戜篃鍘荤瓟棰樿闂釜浜洪〉 鍏虫敞 灞曞紑鍏ㄩ儴 杩介棶 鍙互鍦ㄨ拷闂病鍚 鏈洖绛旂敱鎻愰棶鑰呮帹鑽 宸...
绛旓細鍘熷紡=(m-n)³-m²(m-n)=(m-n)[(m-n)²-m²]=(m-n)(m-n+m)(m-n-m)=-n(m-n)(2m-n)
绛旓細涓嶆槸 2m(m-n)=2*m*m-2mn杩欐槸澶氶」寮忎箻娉曪紝2*m*m-2mn=2m(m-n)杩欐墠鏄鍥犲紡鍒嗚В銆傚洜寮忓垎瑙ｏ紝椤惧悕鎬濅箟灏辨槸鍒嗚В鎴愬洜寮忕殑褰㈠紡锛屽嵆绉殑褰㈠紡銆傚垎瑙ｅ埌鐨勭▼搴︿笌鏁扮殑鑼冨洿鏈夊叧銆傚瀵箈^4-4鐨勫洜寮忓垎瑙ｇ粨鏋滃涓嬶細x^4-4=(x^2+2)(x^2-2)銆愬湪鏈夌悊鏁拌寖鍥村唴銆憍^4-4=(x^2+2)(x+鈭2)(x-...
绛旓細绛旓細1銆3x+24xy^3 =3x(1+8y^3)=3x(2y+1)(4y^2-2y+1)2銆锛坢-n锛塣3-锛2n-m锛塣3 =(m-n-2n+m)*[(m-n)^2+(m-n)(2n-m)+(2n-m)^2]=(2m-3n)(m^2-2mn+n^2+3mn-m^2-2n^2+4n^2-4mn+m^2)=(2m-3n)(m^2-3mn+3n^2)3銆乤^12-b^12 =(a^6-b^6...
绛旓細(m-n)^3+(n-m)m^2 =(m-n)(m^2-2mn+n^2-m^2)=n(m-n)(n-2m)
绛旓細濡傚浘
绛旓細1銆(2a锛媌)(2a锛3b)锛3a(2a锛媌) 2銆2m(m锛7)锛(7锛峬)(m锛3)3銆 4銆5銆 6銆(m锛n)(a锛媌)锛(m锛媙)(x锛媦)涓夈佸簲鐢鍥犲紡鍒嗚В姹備唬鏁板紡鐨勫 锛1锛夊凡鐭ワ細锛屾眰鐨勫 锛2锛夋暟瀛楄兘琚暣闄ゅ悧锛燂紙3锛夊厛鍥犲紡鍒嗚В鍐嶆眰鍊硷細锛屽叾涓 锛4锛夎瘉鏄庯細鑳借鏁撮櫎 锛5锛夎嫢x2锛3x锛2锛0...
绛旓細鍒嗚В鍥犲紡 m^2n-n^3 =n锛坢^2-n^2锛=n锛坢+n锛锛坢-n锛
