初二的因式分解

日期:2017-01-02
初二的因式分解

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  • 因式分解3a3b2c-6a2b2c2+9ab2c3=3ab^2 c(a^2-2ac+3c^2) 3.因式分解xy+6-2x-3y=(x-3)(y-2) 4.因式分解x2(x-y)+y2(y-x)=(x+y)(x-y)^2 5.因式分解2x2-(a-2b)x-ab=(2x-a)(x+b) 6.因式分解a4-9a2b2=a^2(a+3b)(a-3b) 7.若已知x3+3x2-4含有x-1的因式,试分解x3+3x2-4=(x-1)(x+2)^2 8.因式分解ab(x2-y2)+xy(a2-b2)=(ay+bx)(ax-by) 9.因式分解(x+y)(a-b-c)+(x-y)(b+c-a)=2y(a-b-c) 10.因式分解a2-a-b2-b=(a+b)(a-b-1) 11.因式分解(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2=[3a-b-2(a+3b)]^2=(a-7b)^2 12.因式分解(a+3)2-6(a+3)=(a+3)(a-3) 13.因式分解(x+1)2(x+2)-(x+1)(x+2)2=-(x+1)(x+2) abc+ab-4a=a(bc+b-4) (2)16x2-81=(4x+9)(4x-9) (3)9x2-30x+25=(3x-5)^2 (4)x2-7x-30=(x-10)(x+3) 35.因式分解x2-25=(x+5)(x-5) 36.因式分解x2-20x+100=(x-10)^2 37.因式分解x2+4x+3=(x+1)(x+3) 38.因式分解4x2-12x+5=(2x-1)(2x-5) 39.因式分解下列各式:(1)3ax2-6ax=3ax(x-2) (2)x(x+2)-x=x(x+1) (3)x2-4x-ax+4a=(x-4)(x-a) (4)25x2-49=(5x-9)(5x+9) (5)36x2-60x+25=(6x-5)^2 (6)4x2+12x+9=(2x+3)^2 (7)x2-9x+18=(x-3)(x-6) (8)2x2-5x-3=(x-3)(2x+1) (9)12x2-50x+8=2(6x-1)(x-4) 40.因式分解(x+2)(x-3)+(x+2)(x+4)=(x+2)(2x-1) 41.因式分解2ax2-3x+2ax-3= (x+1)(2ax-3) 42.因式分解9x2-66x+121=(3x-11)^2 43.因式分解8-2x2=2(2+x)(2-x) 44.因式分解x2-x+14 =整数内无法分解 45.因式分解9x2-30x+25=(3x-5)^2 46.因式分解-20x2+9x+20=(-4x+5)(5x+4) 47.因式分解12x2-29x+15=(4x-3)(3x-5) 48.因式分解36x2+39x+9=3(3x+1)(4x+3) 49.因式分解21x2-31x-22=(21x+11)(x-2) 50.因式分解9x4-35x2-4=(9x^2+1)(x+2)(x-2) 51.因式分解(2x+1)(x+1)+(2x+1)(x-3)=2(x-1)(2x+1) 52.因式分解2ax2-3x+2ax-3=(x+1)(2ax-3) 53.因式分解x(y+2)-x-y-1=(x-1)(y+1) 54.因式分解(x2-3x)+(x-3)2=(x-3)(2x-3) 55.因式分解9x2-66x+121=(3x-11)^2 56.因式分解8-2x2=2(2-x)(2+x) 57.因式分解x4-1=(x-1)(x+1)(x^2+1) 58.因式分解x2+4x-xy-2y+4=(x+2)(x-y+2) 59.因式分解4x2-12x+5=(2x-1)(2x-5) 60.因式分解21x2-31x-22=(21x+11)(x-2) 61.因式分解4x2+4xy+y2-4x-2y-3=(2x+y-3)(2x+y+1) 62.因式分解9x5-35x3-4x=x(9x^2+1)(x+2)(x-2) 63.因式分解下列各式:(1)3x2-6x=3x(x-2) (2)49x2-25=(7x+5)(7x-5) (3)6x2-13x+5=(2x-1)(3x-5) (4)x2+2-3x=(x-1)(x-2) (5)12x2-23x-24=(3x-8)(4x+3) (6)(x+6)(x-6)-(x-6)=(x-6)(x+5) (7)3(x+2)(x-5)-(x+2)(x-3)=2(x-6)(x+2) (8)9x2+42x+49=(3x+7)^2 .很高兴为你解答有用请采纳