因式分解30题(初二級)(要过程)27分之1a^3+3分之1a^2+a+1 x^6-3x^4y+3x

因式分解30题(初二級)(要过程)27分之1a^3+3分之1a^2+a+1 x^6-3x^4y+3x

27分之1a^3+3分之1a^2+a+1 =(27分之1a^3+1)+(3分之1a^2+a) =(3分之1a+1)(9分之1a^2-3分之1a+1)+a(3分之1a+1) =(3分之1a+1)(9分之1a^2+3分之2a+1) x^6-3x^4y+3x^2y^2-y^3 =(x^6-y^3)-3x^2y(x^2-y) =(x^2-y)(x^4+x^2y+y^2)-3x^2y(x^2-y) =(x^2-y)(x^4-2x^2y+y^2) =(x^2-y)(x^2-y)^2 =(x^2-y)^3 a^2-2ab+ac-2bc =a(a-2b)+c(a-2b) =(a+c)(a-2b) 2ax-10ay+5by-bx =2a(x-5y)+b(5y-x) =(2a-b)(x-5y) x^3-xyz+x^2y-x^2z =(x^3+x^2y)-(xyz+x^2z) =x^2(x+y)-xz(y+x) =(x^2-xz)(x+y) =x(x-z)(x+y) 3x^2+15xy-yx-5y^2 =(3x^2+15xy)-(yx+5y^2 ) =3x(x+5y)-y(x+5y) =(3x-y)(x+5y) a^3+3a^2+3a+9 =(a^3+3a^2)+(3a+9) =a^2(a+3)+3(a+3) =(a^2+3)(a+3) 15x+6xy-4y-10 =(15x-10)+(6xy-4y) =5(3x-2)+2y(3x-2) =(5+2y)(3x-2) 4x^2-4xy+y^2-1 =(2x-y)^2-1 =(2x-y+1)(2x-y-1) x^2-16y^2+x+4y =(x+4y )(x-4y)+(x+4y) =(x+4y)(x-4y+1) x^3+3x^2-4x-12 =x^2(x+3)-4(x+3) =(x^2-4)(x+3) =(x+2)(x-2)(x+3) (x^2+y^2-1)^2-4x^2y^2 =(x^2+y^2-1+2xy)(x^2+y^2-1-2xy) =[(x+y)^2-1][(x-y)^2-1] =(x+y+1)(x+y-1)(x-y-1)(x-y+1) x^2-3x-4 =(x+1)(x-4) x^2-10x+24 =(x-4)(x-6) a^2-a-6 =(a-3)(a+2) a^2-11a+28 =(a-4)(a-7) x^6+7x^3-8 =(x^3+8)(x^3-1) =(x+2)(x^2-2x+4)(x-1)(x^2+x+1) a^2b^2-16ab+15 =(ab-1)(ab-15) a^4-7a^2-18 =(a^2+2)(a^2-9) =(a^2+2)(a-3)(a+3) -x^2-2xy+15y^2 =-(x^2+2xy-15y^2) =-(x-3y)(x+5y) (x-y)^2+(x-y)-42 =(x-y-6)(x-y+7) (x^2-x)^2+6(x^2-x)-16 =(x^2-x-2)(x^2-x+8) =(x+1)(x-2)(x^2-x+8) (a-3b)^2-(3b-a)20 =(a-3b)^2+(a-3b)20 =(a-3b-4)(a-3b+5) 15x^2-22x-5 =(3x-5)(5x+1) 6x^2-11xy-35y^2 =(2x-7y)(3x+5y) 6x^2-25x+4 =(6x-1)(x-4) 24x^3-64x^2-24x =8x(3x^2-8x-3) =8x(3x+1)(x-3) 我有2道题没解出来,看看是不是题打错了

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