给我初二数学因式分解练习题50道-查字典问答网
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  给我初二数学因式分解练习题50道

  给我初二数学因式分解练习题50道

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2019-04-08 08:39
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陈洪芳

  (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)

  1-14x2

  4x–2x2–2

  (x-y)3–(y-x)

  x2–y2–x+y

  x2–y2-1(x+y)(x–y)

  x2+1x2-2-(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-14b2

  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-

2019-04-08 08:43:55

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