提公因式公式法因式分解专题

1、提取公因式法分解因式-15ax-20a;(5)-x 3y3-x2y2-xy;27(13)(a+b) 2+(a+b);(17)(x-3) 3-(x-3) 2;(21)(x-2y)(2x+3y)-2(2y-x)(5x-y);(25)(x-2) 2-(2-x) 3;(29)a2(x-2a) 3-a(2a-x)2;因式分解练习一-25x8+i25x16;(6)a8+a7-2a6-3a5;(10)am-am+1(14)a 2b(a-b)+3ab(a-b);(18)a2b(x-y)-ab(y-x);(3)-a3b2+a2b3;(4)6a3-8a2-4a;(7)6a 3x4-8a2x 5+16ax6；(8)

2、9a3x2-18a5x2-36a4x4;(11)-12a2n+1bm+2+20am+1b2n+4；(15)x(a+b-3c)-(a+b-3c)(19)a2(x-2a)2-a(2a-x)2;(12)x(a+b)+y(a+b);(16)a(a-b)+b(b-a);(20)(x-a) 3+a(a-x);(22)3m(x-5)-5n(5-x);(23)y(x-y) 2-(y-x)3;(24)a(x-y)-b(y-x)-c(x-y);(26)m(n-2)-p(2-n)+(n-2);(27)a3-b3-a2+b2;(30)(a-3)(a 3-2)-(3-a)(a 2-1)+2(3-a);(28)(m-a)

3、 2+3x(m-a)-(x+y)(a-m);(31)2(x-y)(a-2b+3c)-3(x+y)(2b-a-3c);(32)(x+2)(x-3)(x 2-7)+(2+x)(3-x)(x +3);(35)(x+1) 2(2x-3)+(x+1)(2x-3) 2-(x+1)(3-2x);(33)(a-b) 2(a+b) 3-(b-a) 2(b+a)2;(34)x(b+c-d)-y(d-b-c)-b-c+d;因式分解练习二运用公式法分解因式；a2-9b2;(5)x2-324;25a2b4c16-1;(13)(a+b) 2-100;(17)20a3x3-45axy2;(21)a2(a+2b)2-9(x+

4、y) 2;(25)4(x+y+z) 2-9(x-y-z) 2;(29)a9-ab2;(2)-9x2+4y2;(6)144a 2-256b2;1x4y(10)-(14)-z2+(x-y) 2;(18)(2x-3y) 2-4a2;(22)b2-(a-b+c) 2;(26)a-a5;(30)a16-b16;a4-4b2;(7)64x 16-y4z6;(11)36a4x10-49b6y8;(15)361-(3a+2b) 2;(19)(a+2b) 2-(x-3y) 2;(23)(a+b) 2-4a2;(27)a4-9b4;(31)a2b3-4a2b;(4)a6-a8;(8)16a16-25b2x4;(1

5、2)81x8-225a4b4;(16)(ax+by) 2-1;(20)4(a+2b)2-25(a-b)2;(24)(x-y+z) 2-(2x-3y+4z) 2;(28)a8-81b8;(32)x2-y2+x-y;(50)a3-4a2b+4ab2;(51)a4x2+4a2x2y+4x2y2;因式分级答案(3)=-a2b2(a-b);(4)=2a(3a 2-4a-2); (5)=-xy(x 2y2+xy+1);(6)=a5(a3+a2-2a-3)(35)a2-4b2-a-2b;(39)x 2+8x+16;(43)x2-38x+361;(47)x 6+24x3+144;三、(1)=-5a(3x+4)

6、;(2)=25x8(5x8-1);(55)4x 2(a+b)2-12xy(a+b) 2+9y2(a+b)2;(58)a2(x-y)+b 2(y-x);(59)4x2-a2-6a-9;(33)x 2-y2-x-y;(37)a3-ab2+a-b;(41)4a2-4a+1;(45)y 2-50xy+625x 2;(49)49a2-112ab+64b 2;(53)9(p-q) 2-6(q-p)+1;(56)(x2+y2)2-4x2y2;(60)(x 2-b2+y2-a2)2-4(ab-xy)因式分解练习一答案：(34)x 2-y 2-x+y;(38)a3-ab2-a2-ab;(42)-4a2+12ab

7、-9b2;(46)8a-4a2-4;(54)(a+2b)2-10(a+2b)+25;(57) 二(36)a2-4b2-2a+4b;(40)x 2-12x+36;(44)9x 2+12xy+4y 2;(48)1-6ab3+9a2b6;(52)16a2b4-8ab3c2+b2c4;(10)=am(1-a)=-a m(a-1);(7)=2ax 4(3a2-4ax+8x2);(8)=9a 3x2(1-2a 2-4ax2)=-9a 3x2(2a2+4ax2-1);(11)=4ab2(5amb2n+2-3a2nbm);(12)=(x+y)(a+b);(13)=(a+b)(a+b+1);(14)=ab(a-

8、b)(a+3);(15)=(a+b-3c)(x-1);(16)=(a-b)2；(17)=(x-3) 2(x-4);(18)=ab(x-y)(a+1);(19)=a(x-2a) 2(a-1);(20)=(x-a)(x 2-2ax+a2-a);(21)=(x-2y)(12x+y);(22)=(x-5)(3m+5n);(23)=x(x-y) 2；(24)=(x-y)(a+b-c);(25)=(x-2) 2(x-1);(26)=(n-2)(m+p+1);(27)=(a-b)(a 2+b2+ab-a-b)；(28)=(m-a)(m-a+4x+y);(29)=a(x-2a) 2(ax-2a2-1);(30

9、)=(a-3)(a 3+a2-5);(31)=(a-2b+3c)(5x+y);(32)=(x+2)(x-3)(x 2-x-10);(33)=(a-b) 2(a+b2)(a+b-1);(34)=(b+c-d)(x+y-1);(35)=(x+1)(2x-3)(3x-1);因式分解练习二运用公式法分解因式答案(1)(a+3b)(a-3b);(2)-(3x+2y)(3x-2y);(3)(a 2+2b)(a2-2b);(4)-a6(a+1)(a-1);(5)(x+18)(x-18);(6)16(3a+4b)(3a-4b);(7)(8x 8+y2z3)(8x8-y2z3);(8)(4a8+5bx2)(4a

10、8-5bx2);(5ab2c8+i)(5ab2c8-l)(1十/炉)(1(10)<-<-(11)(6a2x5+7b3y4)(6a2x5-7b3y4);(12)9(3x 4+5a2b2)(3x4-5a2b2);(13)(a+b+10)(a+b-10);(14)(x-y+z)(x-y-z);(15)(19+3a+2b)(19-3a-2b);(16)(ax+by+1)(ax+by-1);(17)5ax(2ax+3y)(2ax-3y);(18)(2x-3y+2a)(2x-3y-2a);(19)(a+2b+x-3y)(a+2b-x+3y);(20)-3(7a-b)(a-3b);(21)(a2

11、+2ab+3x+3y)(a 2+2ab-3x-3y);(22)-(a+c)(a-2b+c);(23)(3a+b)(b-a);(24)-(3x-4y+5z)(x-2y+3z)0(25)-(5x-y-z)(x-5y-5z);(26)a(1+a2)(i+a)(ia)；(27)(a2+3b2)(a2-3b2);(29)a(a4+b)(a4-b)；(28)(a 4+9b 4)(a2+3b2)(a2-3b2);(30)(a8+b8)(a4+b4)(a2+b2)(a+b)(a-b);(31)a2b(b+2)(b-2);(32)(x-y)(x+y+1);(33)(x+y)(x-y-1);(34)(x-y)(x+y-1);(35)(a+2b)(a-2b-1);(36)(a-2b)(a+2b-2)(37)(a-b)(a2+ab+1)(38)a(a+b)(a-b-1)(39)(x+4) 2；(40)(x-6) 2;(41)(2a-1)2;(42)-(2a-3b)2；(43)(x-19) 2;(44)(3x+2y) 2;(45)(y-25x) 2;(46)-4(a-1) 2；(47)(x3+12)2;(48)(3ab3-1)2;(49)(7a-8b) 2;(50)a(a-2b)2；(51)x2(a2+2y)2;(52)b2(4ab-