1.(5m^3n^2)/(3m)

1：(5m^3n^2)/(3m)
=5m^2n^2/3
2:(6a^2b-5a^2c^2)/(-3a^2)
=6a^2b/(-3a^2)-5a^2c^2/(-3a^2)
=-2b+5c^2/3
3:.(16x^4+4x^2+x)/x
=x(16x^3+4x+1)/x
=16x^3+4x+1
4:.(3a^2b-2ab+2ab^2)/(ab)
=3a^2b/ab-2ab/ab+2ab^2/ab
=3a-2+2b
5:.(-4a^3+6a^2b^3+3a^3b^3)/(-4a^2)
=(-4a^3)/(-4a^2)+6a^2b^3/(-4a^2)+3a^3b^3/(-4a^2)
=a-3b^3/2-3ab^3/4
6:.(2/5mn^3-m^2n^2+1/6n^4)/(2/3n^2)
=2/5mn^3/(2/3n^2)-m^2n^2/(2/3n^2)+(1/6n^4)/(2/3n^2)
=3mn/5-3m^2/2+n^2/4
7:.(1/10xy^2+1/4y^2-1/2y)/(1/5y)
=1/10xy^2/(1/5y)+1/4y^2/(1/5y)-1/2y/(1/5y)
=xy/2+5y/4-5/2
8:.[(x+1)(x+2)-2]/x
=(x^2+3x+2-2)/x
=(x^2+3x)/x
=x(x+3)/x
=x+3