计算下列各题：用平方差公式及完全平方差公式计算↓ 用平方差公式和完全平方公式计算
\u7528\u5b8c\u5168\u5e73\u65b9\u5dee\u516c\u5f0f\u8ba1\u7b97\u4e0b\u9762\u8fd9\u9898\u21931003²
\uff1d\uff081000+3\uff09²
\uff1d1000²+2\u00d71000\u00d73+3²
=1000000+6000+9
=1006009
完全平方差公式(a-b)^2=a^2-2ab+b^2
(a+b)^2=a^2+2ab+b^2
一、(2m-3n)(3n+2m)=(2m)^2-(3n)^2=4m^2-9n^2
二、（4y+3x）（-4y+3x）=(4y)^2-(3x)^2=16y^2-9x^2
三、（-1/2x+2y）（-1/2x-2y）=(-1/2x)^2-(2y)^2=1/4x^2-4y^2
四、（-4a-1）（-4a+1）=(-4a)^2-(1)^2=16a^2-1
一、=（2m-3n)(2m+3n)
=4m平方-9n平方
二、9x平方-16y平方
三、1/（4x平方）-4y平方
四、16a平方-1
绛旓細瀹屽叏骞虫柟宸叕寮(a-b)^2=a^2-2ab+b^2 (a+b)^2=a^2+2ab+b^2 涓銆(2m-3n)(3n+2m)=(2m)^2-(3n)^2=4m^2-9n^2 浜屻侊紙4y+3x锛夛紙-4y+3x锛=(4y)^2-(3x)^2=16y^2-9x^2 涓夈侊紙-1/2x+2y锛夛紙-1/2x-2y锛=(-1/2x)^2-(2y)^2=1/4x^2-4y^2 鍥涖侊紙-4a-1锛...
绛旓細鍘熷紡=锛3x+2y)(3x-2y)(9x^2+4y^2)=(9x^2-4y^2)(9x^2+4y^2)=(81x^4-16y^4)
绛旓細锛1锛夛紙3x+2锛夛紙3x-2锛夈傦紙2锛夛紙b+2a锛夛紙2a-b锛夈骞虫柟宸叕寮 (a+b)(a-b) = a2-b2銆傚畬鍏骞虫柟鍏紡(a+b)2=a2+2ab+b2 (a-b)2=a2-2ab+b2銆傚畬鍏ㄥ钩鏂规敞鎰忎簨椤癸細1銆佸乏杈规槸涓涓簩椤瑰紡鐨勫畬鍏ㄥ钩鏂广2銆佸彸杈规槸浜岄」骞虫柟鐨勫拰锛屽姞涓婏紙鎴栧噺鍘伙級杩欎袱椤逛箻绉殑浜屽嶏紝a鍜宐鍙槸鏁帮紝鍗曢」寮忥紝澶氶」...
绛旓細閲囩撼
绛旓細瀹屽叏骞虫柟鍏紡鏄厛鍔犲噺鏈鍚庢槸骞虫柟 (a卤b)²=a²卤2ab+b²銆骞虫柟宸叕寮鏄寚涓や釜鏁扮殑鍜屼笌杩欎袱涓暟宸殑绉紝绛変簬杩欎袱涓暟鐨勫钩鏂瑰樊锛岃繖涓鍏紡鐨勭粨鏋勭壒寰侊細宸﹁竟鏄袱涓簩椤瑰紡鐩镐箻锛岃繖涓や釜浜岄」寮忎腑鏈変竴椤瑰畬鍏ㄧ浉鍚岋紝鍙︿竴椤逛簰涓虹浉鍙嶆暟锛涘彸杈规槸涔樺紡涓袱椤圭殑骞虫柟宸紝鍗崇浉鍚岄」鐨勫钩鏂逛笌鐩稿弽椤...
绛旓細锛1锛夊師寮忓彉褰㈠悗锛屽埄鐢ㄥ钩鏂瑰樊鍏紡璁＄畻鍗冲彲寰楀埌缁撴灉锛涳紙2锛夊師寮忓彉褰㈠悗锛屽埄鐢ㄥ畬鍏ㄥ钩鏂瑰叕寮忓睍寮璁＄畻鍗冲彲寰楀埌缁撴灉锛庯紙1锛夊師寮=锛70-1锛壝楋紙70+1锛=4900-1=4899锛涳紙2锛夊師寮=锛100-1锛2=10000-200+1=9801锛,1,鐢ㄥ钩鏂瑰樊鍏紡鎴栧畬鍏骞虫柟鍏紡璁＄畻锛堝繀椤诲啓鍑鸿繍绠楄繃绋嬶級锛庯紙1锛69脳71锛 锛2锛99 2锛
绛旓細1 鍘熷紡=10鐨骞虫柟 - 2鐨勫钩鏂= 100 - 4 = 96 2 鍘熷紡=20鐨勫钩鏂 - 9鐨勫钩鏂= 400 - 81 = 319 3 鍘熷紡=锛1000+2锛壝楋紙1000-2锛= 1000鐨勫钩鏂 - 2鐨勫钩鏂= 1000000 - 4 = 999996 4 鍘熷紡=锛80+2锛壝楋紙80-2锛= 80鐨勫钩鏂 - 2鐨勫钩鏂= 6400 - 4 = 6396 ...
绛旓細鍘熷紡=锛100-0.2锛夛紙100+0.2锛=100²-0.2²=10000-0.04 =9999.96 鍘熷紡=2014²-(2014+1)(2014-1)=2014²-2014²+1 =1 鍘熷紡=(4m²+n²)(4m²-n²)=16m^4-n^4
绛旓細鏈鍚庤В寰梜= 3X^2Y^2,1,涓嬪垪鍚勫紡涓,鑳鐢ㄥ钩鏂瑰樊鍏紡璁＄畻鐨勬槸锛堬級a.(4x-5y)(-5y-4x) b.(-4x+5y)(-5y+4x) c.(-4x-5y)(5y+4x)d.(4x-5y)(5y-4x)x^2+6x+n^2鏄竴涓畬鍏骞虫柟鍏紡,鍒橬鍊间负锛堬級A.3 B.-3 C.6 D.姝ｈ礋3 (x^2-y^2)^2+k=x^4+x^2y^2+y^2,鍒橩鏄紙...
绛旓細1 (2^2-1)(2^2+1)(2^4+1)(2^8+1)=(2^4-1)(2^4+1)(2^8+1)=(2^8-1)(2^8+1)=2^16-1 鍘熷紡=(2^16-1)/3 绗簩棰樺悓鐞 鍘熷紡=(a^32-1)/(a-1)甯屾湜鑳藉府鍒颁綘~~~
