请问这几个题如何因式分解x^2y＋x^2z-xy^2-y^2z3a^2-2b^2+5ab-2a+3b-1x^2-y^2+4y-4a_数学解答

请问这几个题如何因式分解
x^2y＋x^2z-xy^2-y^2z
3a^2-2b^2+5ab-2a+3b-1
x^2-y^2+4y-4
ab(a+b)+bc(b+c)+ca(c+a)+2abc

人气：183 ℃　时间：2020-08-16 12:02:01

解答

1.x^2y＋x^2z-xy^2-y^2z=(x^2y-xy^2)+(x^2z-y^2z)=xy(x-y)+z(x-y)(x+y)=(x-y)(xy+xz+yz)2.3a^2-2b^2+5ab-2a+3b-1=(a+2b-1)(3a-b+1)3.x^2-y^2+4y-4=x^2-(y^2-4y+4)=x^2-(y-2)^2=(x-y+2)(x+y-2)4.ab(a+b)+bc(b+c)+ca(c...