分解因式(x^2 y^2

初二的数学题:因式分解（１）．x

1、2、题目似有误，无法解 3、(x^5+x^4+x^3+x^2+x+1)^2-x^5 =x^10+2x^9+3x^8+4x^7+5x^6+6x^5+5x^4+4x^3+3x^2+2x+1-x^5 =(x^10+2x^9+3x^8+4x^7+5x^6+5x^5+5x^4+4x^3+3x^2+2x+1) =[x^10+(1+1)x^9+(1+1+1)x^8+(1+1+1+1)x^7+(1+1+1+1+1)x^6+(1+1+1+1+1) x^5+(1+1+1+1+1)x^4+(1+1+1+1)x^3+(1+1+1)x^2+(1+1)x+1] =[(1x^10+1x^9+x^8+x^7+x^6...全部

  1、2、题目似有误，无法解 3、(x^5+x^4+x^3+x^2+x+1)^2-x^5 =x^10+2x^9+3x^8+4x^7+5x^6+6x^5+5x^4+4x^3+3x^2+2x+1-x^5 =(x^10+2x^9+3x^8+4x^7+5x^6+5x^5+5x^4+4x^3+3x^2+2x+1) =[x^10+(1+1)x^9+(1+1+1)x^8+(1+1+1+1)x^7+(1+1+1+1+1)x^6+(1+1+1+1+1) x^5+(1+1+1+1+1)x^4+(1+1+1+1)x^3+(1+1+1)x^2+(1+1)x+1] =[(1x^10+1x^9+x^8+x^7+x^6)+(x^9+x^8+x^7+x^6+x^5)+(x^8+x^7+x^6+x^5+x^4)+(x^7+x^6+x^5+x^4+x^3)+(x^6+x^5+x^4+x^3+x^2)+(x^5+x^4+x^3+x^2+x)+(x^4+x^3+x^2+x+1)] =(x^4+x^3+x^2+x+1)(x^6+x^5+x^4+x^3+x^2+x+1) 4、题目应为：x^4-11x^2y^2+y^4 =[x^4+(3-3)x^3y+(-1-9-1)x^2y^+3xy^3-3xy^3+y^4 =[(x^4+3x^3y-x^2y^2)+(-3x^3y-9x^2y^2+3xy^3)+(-x^2y^2-3xy^3+y^4) =(x^2+3xy-y^2)(x^2-3xy-y^2) 5、x^4-12x+323 =(x^2+6x+19)(x^2-6x+17) 6、(2x^2-3x+1)^2-22x^2+33x-1 =(2x^2-3x+1)^2-22x^2+33x-11+10 =(2x^2-3x+1)^2-11(2x^2-3x+1)+10 =x(x-3)(2x-3)(2x+3) 7、 x^4+7x^3+14x^2+7x+1 =[x^4+(3+4)x^3+(1+12+1)x^2+(3+4)x+1 =[(x^4+3x^3+x^2)+(4x^3+12x^2+4x)+(x^2+3x+1) =(x^2+3x+1)(x^2+4x+1) 8、(x+y)^3+2xy(1-x-y)-1 =(x+y)^3 -1-2xy(x+y-1) =(x+y-1)((x+y)^2 +(x+y)+1)-2xy(x+y-1) =(x+y-1)(x^2+y^2+x+y+1) 9、(x+3)(x^2-1)(x+5)-20 =(x+3)(x+1)(x-1)(x+5)-20 =(x^2+4x+3)(x^2+4x-5)-20 =(x^2+4x+3)[(x^2+4x+3)-8]-20 =(x^2+4x+3+2)(x^2+4x+3-10) =(x^2+4x+5)(x^2+4x-7) 。
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