1、(9)4x2(xy)+(yx),(10)(a+1)(a2+2a1)+2(a+1)(11)a2(xy)+b2(yx) (12)x2xy+y21(13)3a3+12a(14)a2(xy)4a(yx)+4(xy) (15)(a+2)(a2)+3a(16)x32x2+x(17)8(x22y2)x(7x+y)+xy(18)4x264(19)4ab24a2bb3(20)16(mn)29(m+n)2(21)x2(xy)+(yx)(22)6m(m+n)4n(m+n)(23)x4y4(24)3a2+12ab12b2(25)4a21(26)2x312x2y+18xy2(27)x22xy+y29(28)ax216a
2、y2(29)a3+ab22a2b(30)x2y(mn)xy2(nm)(31)a2+2ab+b29(32)4x38x2+4x(33)(x+y+z)2(xyz)2(34)(x1)2(35)a2(xy)b2(xy)(36)2x212x+18(37)2x318x(38)x3yx2y212xy3(39)2x28xy+8y2;(40)(x2+y2)24x2y2(41)(ab)32(ba)2(42)3x312x2y+12xy2(43)(3ab)(xy)+(a+3b)(yx) (44)2a2b+4ab2b(45)16x48x2y2+y4(46)a36a27a (47)(x2+x)2(x+1)2(48)4x3y
3、2+28x2y2xy(49)a34ab2(50)(x2+1)24x(x2+1)+4x2(51)x2y2x24y2+4xy(52)(a2+1)(a2+2)+(53)a2(b+c)2(54)(xy)(x2xy+y2)xy(xy)(55)x2+7x18(56)4(x2)21(57)(x+y)2+4(x+y+1)(58)2x(x3)8(59)x2+y2b22xy(60)3a4bc12a3b2c+12a2b3c,(61)16(ab)29(a+b)2,(62)3x(ab)6y(ba)(63)a2+2a(bc)+(bc)2(64)4ab24a2bb3(65)x32x2y+xy2(66)x24y23x+6y(
4、67)x(xy)y(yx)(68)3a212b2(69)m2(a1)2m(a1)+(a1)(70)(ab)2+4ab(71)x2(ab)+4(ba)(72)49(m+n)225(nm)2(73)(yx)210x+10y+25(74)a(xa)(x+y)2b(xa)2(x+y)(75)已知:xy=2,x=2y+1求:x3y4x2y2+4xy3的值(76)已知P=2x2+4y+13,Q=x2y2+6x1,比较代数式P,Q的大小因式分解综合76题参考答案: =3(a+b)+2(ab)3(a+b)2(ab), =(5a+b)(a+5b); (2)(x2+y2)24x2y2, =(x2+y2+2xy)(
5、x2+y22xy), =(x+y)2(xy)2(5)ax216ay2 =a(x216y2) =a(x+4y)(x4y);(6)2a3+12a218a =2a(a26a+9) =2a(a3)2;(5)x27x+10=(x-2)(x5);(7)a22ab+b21 =(ab)21 =(ab+1)(ab1)(7)2xyx2y2, =(2xy+x2+y2), =(x+y)2;=4(mn)+3(m+n)4(mn)3(m+n),=(7mn)(m7n);=4x2(xy)(xy),=(xy)(4x21),=(xy)(2x+1)(2x1)(1)x3yxy3=xy(x2y2)=xy(x+y)(xy);=(a+1)(
6、a2+2a+1)=(a+1)3=a2(xy)b2(xy)=(xy)(a2b2)=(xy)(a+b)(ab);=(xy)21y+1)(xy1)=3a(a24)=3a(a+2)(a2); =(xy)(a2+4a+4) =(xy)(a+2)2 =a2+3a4 =(a+4)(a1)=x(x22x+1)=x(x1)2;=8x216y27x2xy+xy=x216y2=(x+4y)(x4y)=4(x216)=4(x+4)(x4);=b(4a24ab+b2)=b(2ab)2;=4(mn)+3(m+n)4(mn)3(m+n)(22)x2(xy)+(yx)=(xy)(x+1)(x1)=2(m+n)(3m2n);=
7、(x2+y2)(x2y2) =(x2+y2)(x+y)(xy); =3(a24ab+4b2) =3(a2b)2 =(2a+1)(2a1); =2x(x26xy+9y2) =2x(x3y)2;(28)x22xy+y29 =(xy)232 =(xy+3)(xy3)=a(x216y2)=2(x+4y)(x4y); =a(a2+b22ab) =a(ab)2;(31)x2y(mn)xy2(nm) =xy(mn)(x+y);=(a+b)29=(a+b+3)(a+b3)=4x(x22x+1)=4x(x1)2;=(x+y+z)+(xyz)(x+y+z)(xyz)=4x(y+z)(36)(x1)2 =(x1+)
8、(x1) =(x)(x);(37)a2(xy)b2(xy) =(xy)(a2b2) =(xy)(a+b)(ab) =2(x26x+9) =2(x3)2; =2x(x29) =2x(x+3)(x3); =yx(x2xy12y2) =xy(x4y)(x+3y) =2(x24xy+4y2) =2(x2y)2; =(x2+y2+2xy)(x2+y22xy) =(ab)2(ab2); =3x(x24xy+4y2) =3x(x2y)2 =(xy)(3ab)(a+3b) =(xy)(2a4b) =2(xy)(a2b)(44)2a2b+4ab2b=2b(a2+2a1); =(4x2y2)2 =(2x+y)2(
9、2xy)2;(47)a36a27a =a(a26a7) =a(a7)a+1);=(x2+x+x+1)(x2+xx1)=(x+1)2(x+1)(x1)=(x+1)3(x1)(49)4x3y2+28x2y2xy =2xy(2x2y14x+1);=a(a24b2)=a(a+2b)(a2b);=(x2+12x)2=(x1)4=(xy)2(x2y)2=(xy+x2y)(xyx+2y)=a4+3a2+=(a2+)2 =a+(b+c)a(b+c) =(a+b+c)(abc);=(xy)(x22xy+y2)=(xy)3;=(x2)(x+9)=2(x2)+12(x2)1=(2x3)(2x5);=(x+y+2)2
10、;=4x26x8=2(x4)(x+1);=(xy)2b2=(xy+b)(xyb)=3a2bc(a24ab+4b2),=3a2bc(a2b)2;=4(ab)+3(a+b)4(ab)3(a+b),=(7ab)(a7b)(1)4x264=4(x216)=4(x+4)(x4);=3(ab)(x+2y);=(a+bc)2;=b(4ab+4a2+b2)=b(2ab)2=x(x22xy+y2)=x(xy)2;=(x+2y)(x2y)3(x2y)=(x2y)(x+2y3)=(xy)(x+y);=3(a24b2)=3(a+2b)(a2b);=(a1)(m22m+1)=(a1)(m1)2;=a22ab+b2+4a
11、b=(a+b)2=x2(ab)4(ab)=(ab)(x24)=(ab)(x+2)(x2);=7(m+n)+5(nm)7(m+n)5(nm)=(7m+7n+5n5m)(7m+7n5n+5m)=(2m+12n)(12m+2n)=4(m+6n)(6m+n);=(xy)210(xy)+25=(xy5)2;=(xa)(x+y)(ax+aybx+ab)(75)x3y4x2y2+4xy3=xy(x24xy+4y2)=xy(x2y)2x=2y+1,x2y=1,原式=212=2(76)PQ=(2x2+4y+13)(x2y2+6x1)=x26x+y2+4y+14=x26x+9+y2+4y+4+1=(x3)2+(y+2)2+1(x3)20,(y+2)20,PQ=(x3)2+(y+2)2+11,PQ
copyright@ 2008-2023 冰点文库 网站版权所有
经营许可证编号:鄂ICP备19020893号-2