给我50道因式分解题及步骤

1个回答

  • (1)-6ax3y+8x2y2-2x2y

    (2)3a2(x-y)3-4b2(y-x)2

    (3)(x+y)(m-a)-3y(a-m)2+(a-m)3

    (4)8x(a-1)-4(1-a)

    (5)m(1-a)+mn(1-a)+1-a

    (1)16x4-64y4

    (2)16x6-1/4

    (3)(a6+b4)2-4a6b4

    (5)-2m8+512

    (6)(x+y)3-64 或m3-64n3

    (1)-6ax^3y+8x^2y^2-2x^2y

    =2x^2y(-3ax+4y-1)

    (2)3a^2(x-y)^3-4b^2(y-x)^2

    =(x-y)^2(3a^2-4b^2)

    =(x-y)^2(3^0.5a+2b)(3^0.5a-2b)

    (3)(x+y)(m-a)-3y(a-m)^2+(a-m)^3

    =(a-m)[(a-m)^2-3y(a-m)-(x-y)]

    此题是不是有错,按照道理后面这一项还可以再分解的,是关于(a-m)的分解式

    (4)8x(a-1)-4(1-a)

    =4(a-1)(2x+1)

    (5)m(1-a)+mn(1-a)+1-a

    =(1-a)(m+mn+1)

    此题是不是有错,按照道理后面这一项还可以再分解的

    例如:m+n+mn+1=(m+1)(n+1)

    (1)16x4-64y4

    =16(x^4-4y^4)

    =16(x^2+2y^2)(x-2^0.5y)(x+2^0.5y)

    (2)16x6-1/4

    =1/4(64x^6-1)

    =1/4(8x^3-1)(8x^3+1)

    =1/4(2x-1)(4x^2+2x+1)(2x+1)(4x^2-2x+1)

    (3)(a6+b4)2-4a6b4

    =a^12+2a^6b^4+b^8-4a^6b^4

    =a^12-2a^6b^4+b^8

    =(a^6-b^4)^2

    =(a^3+b^2)^2(a^3-b^2)^2

    (5)-2m8+512

    =-2(m^8-256)

    =-2(m^4-16)(m^4+16)

    =-2(m^2-4)(m^2+4)(m^4+16)

    =-2(m-2)(m+2)(m^2+4)(m^4+16)

    (6) (x+y)3-64

    =(x+y-4)(x^2+2xy+y^2+4x+4y+16)

    或m3-64n3

    =(m-4n)(m^2+4mn+16n^2)

    1- 14 x2

    4x –2 x2 – 2

    ( x- y )3 –(y- x)

    x2 –y2 – x + y

    x2 –y2 -1 ( x + y) (x – y )

    x2 + 1 x2 -2-( x -1x )2

    a3-a2-2a

    4m2-9n2-4m+1

    3a2+bc-3ac-ab

    9-x2+2xy-y2

    2x2-3x-1

    -2x2+5xy+2y2

    10a(x-y)2-5b(y-x)

    an+1-4an+4an-1

    x3(2x-y)-2x+y

    x(6x-1)-1

    2ax-10ay+5by+6x

    1-a2-ab-14 b2

    a4+4

    (x2+x)(x2+x-3)+2

    x5y-9xy5

    -4x2+3xy+2y2

    4a-a5

    2x2-4x+1

    4y2+4y-5

    3X2-7X+2

    8xy(x-y)-2(y-x)3

    x6-y6

    x3+2xy-x-xy2

    (x+y)(x+y-1)-12

    4ab-(1-a2)(1-b2)

    -3m2-2m+4

    a2-a-6

    2(y-z)+81(z-y)

    9m2-6m+2n-n2

    ab(c2+d2)+cd(a2+b2)

    a4-3a2-4

    x4+4y4

    a2+2ab+b2-2a-2b+1

    x2-2x-4

    4x2+8x-1

    2x2+4xy+y2

    - m2 – n2 + 2mn + 1

    (a + b)3d – 4(a + b)2cd+4(a + b)c2d

    (x + a)2 – (x – a)2

    –x5y – xy +2x3y

    x6 – x4 – x2 + 1

    (x +3) (x +2) +x2 – 9

    (x –y)3 +9(x – y) –6(x – y)2

    (a2 + b2 –1 )2 – 4a2b2

    (ax + by)2 + (bx – ay)2

    x2 + 2ax – 3a2

    3a3b2c-6a2b2c2+9ab2c3

    xy+6-2x-3y

    x2(x-y)+y2(y-x)

    2x2-(a-2b)x-ab

    a4-9a2b2

    ab(x2-y2)+xy(a2-b2)

    (x+y)(a-b-c)+(x-y)(b+c-a)

    a2-a-b2-b

    (3a-b)2-4(3a-b)(a+3b)+4(a+3b)2

    (a+3)2-6(a+3)

    (x+1)2(x+2)-(x+1)(x+2)2

    35.因式分解x2-25= .

    36.因式分解x2-20x+100= .

    37.因式分解x2+4x+3= .

    38.因式分解4x2-12x+5= .

    39.因式分解下列各式:

    (1)3ax2-6ax= .

    (2)x(x+2)-x= .

    (3)x2-4x-ax+4a= .

    (4)25x2-49= .

    (5)36x2-60x+25= .

    (6)4x2+12x+9= .

    (7)x2-9x+18= .

    (8)2x2-5x-3= .

    (9)12x2-50x+8= .

    40.因式分解(x+2)(x-3)+(x+2)(x+4)= .

    41.因式分解2ax2-3x+2ax-3= .

    42.因式分解9x2-66x+121= .

    43.因式分解8-2x2= .

    44.因式分解x2-x+14 = .

    45.因式分解9x2-30x+25= .

    46.因式分解-20x2+9x+20= .

    47.因式分解12x2-29x+15= .

    48.因式分解36x2+39x+9= .

    49.因式分解21x2-31x-22= .

    50.因式分解9x4-35x2-4= .

    51.因式分解(2x+1)(x+1)+(2x+1)(x-3)= .

    52.因式分解2ax2-3x+2ax-3= .

    53.因式分解x(y+2)-x-y-1= .

    54.因式分解(x2-3x)+(x-3)2= .

    55.因式分解9x2-66x+121= .

    56.因式分解8-2x2= .

    57.因式分解x4-1= .

    58.因式分解x2+4x-xy-2y+4= .

    59.因式分解4x2-12x+5= .

    60.因式分解21x2-31x-22= .

    61.因式分解4x2+4xy+y2-4x-2y-3= .

    62.因式分解9x5-35x3-4x= .

    63.因式分解下列各式:

    (1)3x2-6x= .

    (2)49x2-25= .

    (3)6x2-13x+5= .

    (4)x2+2-3x= .

    (5)12x2-23x-24= .

    (6)(x+6)(x-6)-(x-6)= .

    (7)3(x+2)(x-5)-(x+2)(x-3)= .

    (8)9x2+42x+49= .

    (1)(x+2)-2(x+2)2= .

    (2)36x2+39x+9= .

    (3)2x2+ax-6x-3a= .

    (4)22x2-31x-21= .

    70.因式分解3ax2-6ax= .

    71.因式分解(x+1)x-5x= .

    72.因式分解(2x+1)(x-3)-(2x+1)(x-5)=

    73.因式分解xy+2x-5y-10=

    74.因式分解x2y2-x2-y2-6xy+4=

    x3+2x2+2x+1

    a2b2-a2-b2+1

    (1)3ax2-2x+3ax-2

    (x2-3x)+(x-3)2+2x-6

    1)(2x+3)(x-2)+(x+1)(2x+3)

    9x2-66x+121

    17.因式分解

    (1)8x2-18 (2)x2-(a-b)x-ab

    18.因式分解下列各式

    (1)9x4+35x2-4 (2)x2-y2-2yz-z2

    (3)a(b2-c2)-c(a2-b2)

    19.因式分解(2x+1)(x+1)+(2x+1)(x-3)

    20.因式分解39x2-38x+8

    21.利用因式分解求(6512 )2-(3412 )2之值

    22.因式分解a(b2-c2)-c(a2-b2)

    24.因式分解7(x-1)2+4(x-1)(y+2)-20(y+2)2

    25.因式分解xy2-2xy-3x-y2-2y-1

    26.因式分解4x2-6ax+18a2

    27.因式分解20a3bc-9a2b2c-20ab3c

    28.因式分解2ax2-5x+2ax-5

    29.因式分解4x3+4x2-25x-25

    30.因式分解(1-xy)2-(y-x)2

    31.因式分解

    (1)mx2-m2-x+1 (2)a2-2ab+b2-1

    32.因式分解下列各式

    (1)5x2-45 (2)81x3-9x (3)x2-y2-5x-5y (4)x2-y2+2yz-z2

    33.因式分xy2-2xy-3x-y2-2y-1

    34.因式分解y2(x-y)+z2(y-x)

    1)因式分解x2+x+y2-y-2xy=

    很高兴能帮到你~~!我在各个地方找到滴都一点点打到上面了,选我为最佳答案喔