因式分解100题.docx

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1、(1) 9(a+b)2-4(a-b)2,(2) (x2+y2)2-4x2y2,(3) ax2-16ay2(4) -2a3+12a2-18a(5) x2-7x+10(6) a2-2ab+b2-1(7) -2xy-x2-y2,(8) 16(m-n)2-9(mn)2,(9) 4x2(x-y)+(y-x),(10) (a+1.)(a2+2a-1)+2(a+1.)(11) a2(x-y)+b2(y-x)(12) x2-xy+2-1.4(13) -3a3+12a(14) a,(x-y)-4a(y-x)+4(x-y)(15) (a+2)(a-2)+3a(16) x3-2x2+x(17) 8(x2-2y2)-

2、x(7x+y)+xy(18) 4x2-64(19) 4ab2-4a-b3(20) 16(m-n)2-9(m+n)2(21) x2(x-y)+(y-x)(22) 6m(m+n)-4n(m+n)(23) x4-y4(24) -3a212ab-12b2.(25) 4a2-1(26) 2x3-12x2y+18xy2(27) x2-2xy+y2-9(28) ax2-16ay2(29) a3+ab2-2a(30) x2y(m-n)-xy2(n-m)(31) a2+2ab+b2-9(32) 4x3-8x2+4x(33) (x+y+z)2-(x-y-z)2(34) (x-1.)2-A4(35) a2(x-y)

3、-b2(x-y)(36) 2x2-12x+18(37) 2x3-18x(38) x3y-x2y2-12xy3(39) 2x2-8xy+8y2;(40) (x2+y2)2-4x2y2.(41) (a-b)3-2(b-a)2(42) 3x3-12x2y+12xy2(43) (3a-b)(x-y)+(a+3b)(y-x)(44) 2a+4ab-2b(45) 16x4-8x2y2+y4(46) a3-6a2-7a(47) (x2+x)2-(x+1.)2(48) -4x3y228x2y-2xy(49) a34ab2(50) (x2+1.)2-4x(x2+1.)+4x2(51) x2y2-x2-4y2+4

4、xy(52) (a2+1.)(a2+2)+1.4(53) a2-(b+c)2(54) (x-y)(x8-xy+y,)-xy(x-y)(55) x2+7x-18.(56) 4(x-2)2-1(57) (x+y)2+4(x+y+1.)(58) 2x(x-3)-8(59) x2+y2-b2-2xy(60) 3ac-12a2c+12a3c,(61) 16(a-b)2-9(a+b)2,(62) 3x(a-b)-6y(b-a)(63) a2+2a(b-c)+(b-c)2(64) 4ab2-4a-b3(65) x3-2x2y+xy2(66) x2-4y2-3x+6y(67) x(x-y)-y(y-x)(68

5、) 3a2-12b2(69) m,(a-1)-2m(a-1)+(a-1)(70) (a-b)2+4ab(71) x2(a-b)+4(b-a)(72) 49(m+n)2-25(n-m)2(73) (y-x)2-10x+10y+25(74) a(x-a)(x+y)1-b(x-a),(x+y)(75)已知Ixy=2,x=2y+1.求x,y-4x1y2+4xy,W.(76) BP2x,+4y+13,Q-x,-y,+x-1,比较代数式P,Q的大小.1 .)3a3b2c-12a2b2ca+9ab2c32 .)162-813 .)xy+6-2x-3y4 .)2(-y)+y2(y-)5 .)2x2-(a-2b

6、)-ab6 .)a4-9a2b27 .)3+32-48 .)ab(x2-y2)+y(a2-b2)9 .)(x+y)(a-b-c)+(x-y)(b+c-a)10 .)a2-a-b2-b11 .)(3a-b)2-4(3a-b)(a+3b)+4(a+3b)212 .)(a+3)2-6(a+3)13 .)(x+1.)2(x+2)-(x+1.)(x+2)214 .)16x2-8115 .) 9x2-30x + 2516 .) x2-7-3017 .) x(x + 2)-x18 .) x2 - 4x - ax + 4a19 .) 25x2-4920 .) 36x2-60x + 2521 .) 4x2 +

7、12x + 922 .) x2-9x + 1823 .) 2x2-5-324 .) 12x2-50x + 825 .) 3x2-626 .) 49x2-2527 .) 6x2-13x + 528 .) x2 + 2-3x29 .) 122-23-2430 .) (x + 6)(x-6)-(x-6)31 .) 3(x + 2)(x-5)-(x + 2)(x-3)32 .) 9x2 + 42x + 4933 .) 4-2x3-35x34 .) 3x6-3x235 .) x2-2536 .) x2-20x + 10037 .) x2 + 4x + 338 .) 4x2-12x + 53ax2 - 6

8、a(x+ 2)(x-3) + (x + 2)(x + 4)47 .)12x2-29x+1548 .)36x2+39x+949 .)21x2-31-2250 .)9x4-35x2-451 .)(2x+1.)(x+1)+(2x+1.)(x-3)52 .)2ax2-3x+2a-353 .)x(y+2)-x-y-154 .)(x2-3x)+(x-3)255 .)9x2-66x+12156 .)8-2x257 .)x4-1.58 .)2+4x-xy-2y+459 .)4x2-12x+560 .)212-31-2261 .)4x2+4xy+y2-4x-2y-362 .)9x5-35x3-4x(1) x+y

9、-xy-y(2) ax1bx1-bx-ax+a-b(3x2+6xy+9y2-162+8a-1.(4)c-6cb+12b+9b4a(5) a4-2ai+a2-9(6) 4a2x-4a2y-b2x+b2y(7) x2-2xy-xz+yz+y2(8) a2-2a+b2-2b+2ab+(9) yy-2)-(m-1.)(m+1)2ax2-3x + 2a - 39x2-66x + 1218-2x2x2-+ 129x2-30x + 25-20x2 + 9x + 20(11)(12)(13)(14)(10) (a+c)(c-c)+b(b-2a)8x6-7x3-112x2-I1.Ay-15)产(x+y)2-3(x+y)-10(a+b)2-4a-4b+3(15) x2y2-5x2y-6x2(16) x3-9x+8(17)(x+1.)4+(x2-1.)2(x-1.)4(18) -7+10(19) x4+x2+2ax+-a2(20) x4+y4+(x+y)4(21) 4x2-xy-6x+3y+y2-1()(22)12(x+y)2+1.1.(-/)+2(x-y)2(23) (x+1)4+(x2-I)2+(x-1.)4