因式分解综合专项练习题有答案.doc

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1、 因式分解综合专项练习76题有答案19a+b24ab2， 2x2+y224x2y2，（3） ax216ay2（4） 2a3+12a218a5x27x+10（6） a22ab+b21 72xyx2y2，816mn29m+n2，94x2xy+yx，10a+1a2+2a1+2a+1 11a2xy+b2yx 12x2xy+y21133a3+12a14a2xy4ayx+4xy 15a+2a2+3a 16x32x2+x178x22y2x7x+y+xy184x264194ab24a2bb32016mn29m+n2（21） x2xy+yx226mm+n4nm+n23x4y4243a2+12ab12b2254a

2、21262x312x2y+18xy2 （27） x22xy+y2928ax216ay229a3+ab22a2b（30） x2ymnxy2nm31a2+2ab+b29324x38x2+4x33x+y+z2xyz2（34） x12（35） a2xyb2xy362x212x+18372x318x38x3yx2y212xy3392x28xy+8y2； 40x2+y224x2y241ab32ba2423x312x2y+12xy2433abxy+a+3byx 442a2b+4ab2b4516x48x2y2+y4（46） a36a27a 47x2+x2x+12（48） 4x3y2+28x2y2xy49a34

3、ab250x2+124xx2+1+4x251x2y2x24y2+4xy52a2+1a2+2+53a2b+c254xyx2xy+y2xyxy55x2+7x18564x22157x+y2+4x+y+1582xx3859x2+y2b22xy603a4bc12a3b2c+12a2b3c，6116ab29a+b2，623xab6yba63a2+2abc+bc2644ab24a2bb365x32x2y+xy266x24y23x+6y67xxyyyx683a212b269m2a12ma1+a170ab2+4ab71x2ab+4ba7249m+n225nm273yx210x+10y+25（74） axax+y

4、2bxa2x+y75：xy=2，x=2y+1求：x3y4x2y2+4xy3的值76P=2x2+4y+13，Q=x2y2+6x1，比拟代数式P，Q的大小因式分解综合76题参考答案：19a+b24ab2， =3a+b+2ab3a+b2ab， =5a+ba+5b； 2x2+y224x2y2， =x2+y2+2xyx2+y22xy， =x+y2xy2（5） ax216ay2 =ax216y2 =ax+4yx4y；（6） 2a3+12a218a =2aa26a+9 =2aa32；5x27x+10=x-2x5；（7） a22ab+b21 =ab21 =ab+1ab172xyx2y2， =2xy+x2+y2

5、， =x+y2；816mn29m+n2，=4mn+3m+n4mn3m+n，=7mnm7n；94x2xy+yx，=4x2xyxy，=xy4x21，=xy2x+12x11x3yxy3=xyx2y2=xyx+yxy；10a+1a2+2a1+2a+1=a+1a2+2a+1=a+13 11a2xy+b2yx =a2xyb2xy=xya2b2=xya+bab；12x2xy+y21=xy21=xy+1xy1133a3+12a=3aa24=3aa+2a2；14a2xy4ayx+4xy =xya2+4a+4 =xya+22 15a+2a2+3a =a2+3a4 =a+4a116x32x2+x=xx22x+1=x

6、x12；178x22y2x7x+y+xy=8x216y27x2xy+xy=x216y2=x+4yx4y184x264=4x216=4x+4x4；194ab24a2bb3=b4a24ab+b2=b2ab2；2016mn29m+n2=4mn+3m+n4mn3m+n=7mnm7n；（22） x2xy+yx=xyx+1x1226mm+n4nm+n=2m+n3m2n；23x4y4=x2+y2x2y2 =x2+y2x+yxy；243a2+12ab12b2 =3a24ab+4b2 =3a2b2254a21 =2a+12a1；262x312x2y+18xy2 =2xx26xy+9y2 =2xx3y2；（28）

7、 x22xy+y29 =xy232 =xy+3xy328ax216ay2=ax216y2=2x+4yx4y；29a3+ab22a2b =aa2+b22ab =aab2；（31） x2ymnxy2nm =xymnx+y； 31a2+2ab+b29=a+b29=a+b+3a+b3324x38x2+4x=4xx22x+1=4xx12；33x+y+z2xyz2=x+y+z+xyzx+y+zxyz=4xy+z（36） x12 =x1+x1 =xx；（37） a2xyb2xy =xya2b2 =xya+bab362x212x+18 =2x26x+9 =2x32；372x318x =2xx29 =2xx+3

8、x3；38x3yx2y212xy3 =yxx2xy12y2 =xyx4yx+3y392x28xy+8y2； =2x24xy+4y2 =2x2y2；40x2+y224x2y2 =x2+y2+2xyx2+y22xy =x+y2xy241ab32ba2 =ab2ab2；423x312x2y+12xy2 =3xx24xy+4y2 =3xx2y2433abxy+a+3byx =xy3aba+3b =xy2a4b =2xya2b442a2b+4ab2b=2ba2+2a1；4516x48x2y2+y4 =4x2y22 =2x+y22xy2；（47） a36a27a =aa26a7 =aa7a+1； 47x2

9、+x2x+12=x2+x+x+1x2+xx1=x+12x+1x1=x+13x1（49） 4x3y2+28x2y2xy =2xy2x2y14x+1；49a34ab2=aa24b2=aa+2ba2b；50x2+124xx2+1+4x2=x2+12x2=x1451x2y2x24y2+4xy=xy2x2y2=xy+x2yxyx+2y52a2+1a2+2+=a4+3a2+=a2+253a2b+c2 =a+b+cab+c =a+b+cabc；54xyx2xy+y2xyxy=xyx22xy+y2=xy3；55x2+7x18=x2x+9564x221=2x2+12x21=2x32x5；57x+y2+4x+y+

10、1=x+y+22；582xx38=4x26x8=2x4x+1；59x2+y2b22xy=xy2b2=xy+bxyb603a4bc12a3b2c+12a2b3c，=3a2bca24ab+4b2，=3a2bca2b2；6116ab29a+b2，=4ab+3a+b4ab3a+b，=7aba7b14x264=4x216=4x+4x4；623xab6yba=3abx+2y；63a2+2abc+bc2=a+bc2；644ab24a2bb3=b4ab+4a2+b2=b2ab265x32x2y+xy2=xx22xy+y2=xxy2；66x24y23x+6y=x+2yx2y3x2y=x2yx+2y367xxyy

11、yx=xyx+y；683a212b2=3a24b2=3a+2ba2b；69m2a12ma1+a1=a1m22m+1=a1m12；70ab2+4ab=a22ab+b2+4ab=a+b271x2ab+4ba=x2ab4ab=abx24=abx+2x2；7249m+n225nm2=7m+n+5nm7m+n5nm=7m+7n+5n5m7m+7n5n+5m=2m+12n12m+2n=4m+6n6m+n；73yx210x+10y+25=xy210xy+25=xy52；74axax+y2bxa2x+y=xax+yax+aybx+ab75x3y4x2y2+4xy3=xyx24xy+4y2=xyx2y2x=2y+1，x2y=1，原式=212=276PQ=2x2+4y+13x2y2+6x1=x26x+y2+4y+14=x26x+9+y2+4y+4+1=x32+y+22+1x320，y+220，PQ=x32+y+22+11，PQ