（m-n)³+2n(n-m)²1/2a³b+2a²b²+2ab³（4x²-25y²）÷（2x-5y)(2x²-2x+1/2)÷(x-1/2)2x²-3x=0(3y+5)²=4y²

Question

（m-n)³+2n(n-m)²
1/2a³b+2a²b²+2ab³
（4x²-25y²）÷（2x-5y)
(2x²-2x+1/2)÷(x-1/2)
2x²-3x=0
(3y+5)²=4y²

Answer 1

1.原式=m^3-3m^2n+3mn^2-n^3+2n^3-4mn^2+2m^2n
=m^3-m^2n-mn^2+n^3
=m^2(m-n)-n^2(m-n)
=(m-n)(m^2-n^2)
=(m-n)(m+n)(m-n)
=(m-n)^2(m+n)
2.原式=1/2ab(a^2+4ab+4b^2)
=1/2ab(a+2b)^2
3.原式=(2x+5y)(2x-5y)/2x-5y
=2x+5y
4.原式=(x-1/2)(2x-1)/x-1/2
=2x-1
5.x(2x-3)=0
x=0,2x-3=0,x1=0,x2=3/2
6.(3y+5)^2-4y^2=0
(3y+5+2y)(3y+5-2y)=0
(5y+5)(y+5)=0
5(y+1)(y+5)=0
y+1=0,y+5=0,y1=-1,y2=-5