因式分解練習(xí)題1

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1、因式分解練習(xí)題1（一）填空1．一個(gè)多項(xiàng)式若能因式分解，則這個(gè)多項(xiàng)式被其任一因式除所得余式為_________．2．變形（1）(a+b)(a-b)=a2-b2，（2）a2-b2=(a-b)(a+b)中，屬于因式分解過程的是________．3．若a，b，c三數(shù)中有兩數(shù)相等，則a2(b-c)+b2(c-a)+c2(a-b)的值為_________．4．12.718×0.125-0.125×4.718=_________．5．1.13×2.5+2.25×2.5+0.62×2.5=_________．6．分解因式：a2(b2-c2)-c2(b-c)(a+b)=_________．7．因

2、式分解：(a-2b)(3a+4b)+(2a-4b)(2a-3b)=(a-2b)·(???)．8．若a+b+c=m，則整式m·[(a-b)2+(b-c)2+(c-a)2]+6(a+b+c)(ab+bc+ca)可用m表示為_______________．9．(2x+1)y2+(2x+1)2y=_________．10．因式分解：(x-y)n-(x-y)n-2=(x-y)n-2·_________．11．m(a-m)(a-n)-n(m-a)(a-n)=_________．12．因式分解：x(m-n)+(n-m)y-z(m-n)=(m-n)(???)．13．因式分解：(x+2y)(3x

3、2-4y2)-(x+2y)2(x-2y)=________．14．21a3b-35a2b3=_________．15．3x2yz+15xz2-9xy2z=__________．16．x2-2xy-35y2=(x-7y)(???)．17．2x2-7x-15=(x-5)(???)．18．20x2-43xy+14y2=(4x-7y)(???)．19．18x2-19x+5=(???)(2x-1)．20．6x2-13x+6=(???)(???)．21．5x2+4xy-28y2=(???)(???)．22．-35m2n2+11mn+6=-(???)(???)．23．6+11a-35a2=(

4、???)(???)．24．6-11a-35a2=(???)(???)．25．-1+y+20y2=(???)(???)．26．20x2+(???)+14y2=(4x-7y)(5x-2y)．27．x2-3xy-(???)=(x-7y)(x+4y)．28．x2+(???)-28y2=(x+7y)(x-4y)．29．x2+(???)-21y2=(x-7y)(x+3y)．30．kx2+5x-6=(3x-2)(???)，k=______．31．6x2+5x-k=(3x-2)(???)，k=______．32．6x2+kx-6=(3x-2)(???)，k=______．33．18x2-19x

5、+5=(9x+m)(2x+n)，則m=_____，n=_____．34．18x2+19x+m=(9x+5)(2x+n)，則m=_____，n=_____．35．20x2-43xy+14y2=(4x+m)(5x+n)，則m=_____，n=_____．36．20x2-43xy+m=(4x-7y)(5x+n)，則m=_____，n=_____．38．x4-4x3+4x2-1=_______．39．2x2-3x-6xy+9y=________．40．21a2x-9ax2+6xy2-14ay2=________．41．a(chǎn)3+a2b+a2c+abc=________．42．2(a2-3a

6、c)+a(4b-3c)=_________．43．27x3+54x2y+36xy2+8y3_______．44．1-3(x-y)+3(x-y)2-(x-y)3=_______．45．(x+y)2+(x+m)2-(m+n)2-(y+n)2=_______．46．25x2-4a2+12ab-9b2=_______．47．a(chǎn)2-c2+2ab+b2-d2-2cd=_______．48．x4+2x2+1-x2-2ax-a2=________．50．a(chǎn)2-4b2-4c2-8bc=__________．51．a(chǎn)2+b2+4a-4b-2ab+4=________．