因式分解30题(要过程)

题目

因式分解30题(要过程)
am+an+bm+bn x^2+5y-xy-5x x2+xy+2xz+x (a+b)x-(b+a)y -12x(x-y)-(y-x)x^2 2x^2+4x+2 x(x+z)-y(y+z) 2(x^2-3ab)+x(4a-3b) 4x^2+12xy+9y^2-25 x^4-16 16x^4-1 x^2+9x+8 x^2-10xy+24y^2 2x^2+15xy-8y^2 3x^2-6xy+3y^2 24x^2+22x-21 -x^2+4xy-4y^2 8xy+x^2y^2+12 m^3-m^2-20m 36x^2-96xy+64y^2 81x^2+18xy+y^2 n+10nt+25nt^2 25分之9乘以x^2+2分之3乘以xy+16分之25乘以y^2 (a-b)^3+2ab(b-a) -12x^3y^3z^3-18x^3y^2z^4+24x^2y^4z^3-6x^2y^3z^4 x^3-x^2+4分之1乘以x (a-b)^2(a-b)(a-c)+(a-b)(b+C) (x+y)^2-14x(x+y)+49x^2 (x^2+x+1)^2+2(x^2+x+1)(x^2+x-1)+(x^2+x-1)^2

答案

am+an+bm+bn=a(m+n)+b(m+n)=(m+n)(a+b) x^2+5y-xy-5x=x(x-5)-y(x-5)=(x-5)(x-y) x2+xy+2xz+x=x(x+y+2z+1) (a+b)x-(b+a)y=(a+b)(x-y) -12x(x-y)-(y-x)x^2=(y-x)(12x-x^2)=x(y-x)(12-x) 2x^2+4x+2=2(x^2+2x+1)=2(x+1)^...