100道题(因式分解整式乘除).doc

因式分解 & 整式乘除 100题（答案）1．3ab２ c(a２-2ac+3c２)2．3ab２ c(a２-2ac+3c２)3．(x-3)(y-2)4．(x+y)(x-y)２5．(2x-a)(x+b)6．a2(a+3b)(a-3b)7．(ay+bx)(ax-by)8．2y(a-b-c)9．[3a-b-2(a+3b)]2=(a-7b)210．(a+b)(a-b-1)11．(a+3)(a-3)12．-(x+1)(x+2)13．a(bc+b-4)14． (4x+9)(4x-9)15．(3x-5)216．(x-10)(x+3)17．(x+5)(x-5)18．(x-10)219．(x+1)(x+3)20．(2x-1)(2x-5)21．3ax(x-2)22．x(x+1)23．(x-4)(x-a)24．(5x-9)(5x+9)25．(6x-5)226．(2x+3)227．(x-3)(x-6)28．(x-3)(2x+1)29．2(6x-1)(x-4)30．(x+2)(2x-1)31． (x+1)(2ax-3)32．(3x-11)233．2(2+x)(2-x)34．整数内无法分解35．(3x-5)236．(-4x+5)(5x+4)37．(4x-3)(3x-5)38．3(3x+1)(4x+3)39．(21x+11)(x-2)40．(9x2+1)(x+2)(x-2)41．2(x-1)(2x+1)42．(x+1)(2ax-3)43．(x-1)(y+1)44．(x-3)(2x-3)45．(3x-11)246．2(2-x)(2+x)47．(x-1)(x+1)(x2+1)48．(x+2)(x-y+2)49．(2x-1)(2x-5)50．(21x+11)(x-2)51．(2x+y-3)(2x+y+1)52．x(9x2+1)(x+2)(x-2)53．3x(x-2)54．(7x+5)(7x-5)55．(2x-1)(3x-5)56．(x-1)(x-2)57．(3x-8)(4x+3)58．(x-6)(x+5)59．2(x-6)(x+2)60．(3x+7)261．2x2y(-3ax+4y-1)62．(x-y)2(3a2-4b2) =(x-y)2(3a+2b)(3a-2b)63．(a-m)[(a-m)2-3y(a-m)-(x-y)]64．4(a-1)(2x+1)65．(1-a)(m+mn+1) 如:m+n+mn+1=(m+1)(n+1)66．16(x2+2y2)(x-2y)(x+2y)67．14(64x6-1)=14(8x3-1)(8x3+1)=14(2x-1)(4x2+2x+1)(2x+1)(4x2-2x+1)68．a12+2a6b4+b8-4a6b4=a12-2a6b4+b8=(a6-b4)2=(a3+b2)2(a3-b2)269．-2(m8-256)=-2(m4-16)(m4+16)=-2(m2-4)(m2+4)(m4+16)=-2(m-2)(m+2)(m2+4)(m4+16)70．(x+y-4)(x2+2xy+y2+4x+4y+16) 或m3-64n3=(m-4n)(m2+4mn+16n2)71．(x-1)(x+2)272． (ab+b+a+b)(ab+b-a-b)= (ab+2b+a)(ab-a)= a(b-1)(ab+2b+a)73． [(a+x)(a-x)]2-4ax(x-a)2 = (a+x)2(a-x)2-4ax(x-a)2 = (x-a)2[(a+x)2-4ax] = (x-a)2(a2+2ax+x2-4ax) = (x-a)2(x-a)2 = (x-a)4．74．-15(x-y)(2x-3y)(3x-2y)75．(x+2)(x+3)(x2+5x-1)76．(x2+6x+6)令x2+6x=a77．(x+1)(y+1)(xy+x+y-1)78．(x-y)(x+4)79．(a+b-c)(a-b+c)80．(a-b)(a+c)81．(x+2y-z)(x-2y+z)82．(x+1)(x+2)(x+3)83．(x+1)(x-4)(x+4)(x-2)84．a(a-b)285．(5-x)(x-1)86．(x+y-2)(x-y-2)87．(x+3)(x-2)(x+2)88．(x+4)(x-1)(x+1)(x+2)89．(a-b)(a+b+c)90．(x+y+1)(x-y-3)91．(2a-b)(2a+b+3)92．(3a-2b+c)(3a+2b-c)93．(a-b+c)(a-b-c)94．(x2+x+5)(x+2)(x-1)95．x(2x-3)(x-3)(2x+3)令2x2-3x=a96．(x2+4x-3)(x2+4x+1)97．(a2+ab-1)(b2+ab-1)98．3(x-2)(y-2)(x-y)99．(3x+y-3)(3x-y+1)100．(a2+2a+2)(a2-2a+2) 。