1 .(x+y)四次幂+(x²-y²)²+(x-y)四次幂
2 .(x四次幂-4x²+1)(x四次幂+3x²+1)+10x四次幂
1. 2x^2+4xy+2y^2-8z^2 =2[(x^2+2xy+y^2) - 4z^2] =2[(x+y)^2 - (2z)^2] =2(x+y - 2z)(x+y + 2z)2. ab(c^2-d^2)+cd(a^2-b^2) = ab*c^2 - ab*d^2+cd*a^2 - cd*b^2 =ab*c^2+cd*a^2 - (ab*d^2+cd*b^2) =ac*bc+ac*ad - (bd*ad+bd*bc) =ac*(bc+ad) - bd*(ad+bc) =(ad+bc)(ac-bd)3. x^2-4mx+8mn-4n^2 =x^2-4mx+4m^2-4m^2+8mn-4n^2 = (x-2m)^2-[(2m)^2-8mn+(2n)^2] = (x-2m)^2-(2m-2n)^2 =(x-2m+2m-2n)[x-2m-(2m-2n)] =(x-2n)(x-4m+2n)4. x^4+64 你是否打错了, 中间应该是减号,否则不用因式分解了5. x^3-11x^2+31x-21 暂时未想到6. x^3-4xy^2-2x^2y+8y^3 =(x^3-2x^2y) - (4xy^2-8y^3) =(x^2)*(x-2y) - (4*y^2)*(x-2y) =(x-2y)[x^2-(2y)^2] =(x-2y)(x+2y)(x-2y) =(x+2y)(x-2y)^27. a+b=2/3,ab=2 求 a^2b+2a^2b^2+ab^2 题目中的(a^2b+2a^2b^2+ab^2)不清晰 如a^2b是代表(a^2)*b 还是a^(2b)8. (1/2x2+x-1)+(1/2x^2+3x+1) 这题题目应该打错了,有点问题9. a+b+c=0 求 a^3+a^2c+b^2c-abc+b63 这题题目应该也打错了,有点问题,特别是b63?