Question

因式分解题，急急急!!!

x^2(x-y)+(y-x)
m^2(m-1)-4(1-m)^2
5(a-b)^2-10(b-a)^3
请写出过程

Answer 1

x^2(x-y)+(y-x)=(x²-1)(x-y)=(x+1)(x-1)(x-y)
m^2(m-1)-4(1-m)^2=[m^(m-1)+2(1-m)][m^(m-1)-2(1-m)]=[m^(m-1)+2-2m][m^(m-1)-2+2m]
5(a-b)^2-10(b-a)^3=5(a-b)^2+10(a-b)^3=5(a-b)²[1+2(a-b)]=5(a-b)²(2a-2b+1)

Answer 2

x^2(x-y)+(y-x)
=(x-y)(x²-1)
=(x-y)(x-1)(x+1)
m^2(m-1)-4(1-m)^2
=(m-1)(m²-4m+4)
=(m-1)(m-2)²
5(a-b)^2-10(b-a)^3
=5(a-b)²-10(a-b)³
=5(a-b)²(1-2a+2b)