# Divide (15u^2v^6-10u^6y^6)/(20u^3)

15u2v6-10u6y620u3
Factor 5u2 out of 15u2v6-10u6y6.
Factor 5u2 out of 15u2v6.
5u2(3v6)-10u6y620u3
Factor 5u2 out of -10u6y6.
5u2(3v6)+5u2(-2u4y6)20u3
Factor 5u2 out of 5u2(3v6)+5u2(-2u4y6).
5u2(3v6-2u4y6)20u3
5u2(3v6-2u4y6)20u3
Cancel the common factor of 5 and 20.
Factor 5 out of 5u2(3v6-2u4y6).
5(u2(3v6-2u4y6))20u3
Cancel the common factors.
Factor 5 out of 20u3.
5(u2(3v6-2u4y6))5(4u3)
Cancel the common factor.
5(u2(3v6-2u4y6))5(4u3)
Rewrite the expression.
u2(3v6-2u4y6)4u3
u2(3v6-2u4y6)4u3
u2(3v6-2u4y6)4u3
Cancel the common factors.
Factor u2 out of 4u3.
u2(3v6-2u4y6)u2(4u)
Cancel the common factor.
u2(3v6-2u4y6)u2(4u)
Rewrite the expression.
3v6-2u4y64u
3v6-2u4y64u
Split the fraction 3v6-2u4y64u into two fractions.
3v64u+-2u4y64u
Cancel the common factor of -2 and 4.
Factor 2 out of -2u4y6.
3v64u+2(-u4y6)4u
Cancel the common factors.
Factor 2 out of 4u.
3v64u+2(-u4y6)2(2u)
Cancel the common factor.
3v64u+2(-u4y6)2(2u)
Rewrite the expression.
3v64u+-u4y62u
3v64u+-u4y62u
3v64u+-u4y62u
Cancel the common factor of u4 and u.
Factor u out of -u4y6.
3v64u+u(-u3y6)2u
Cancel the common factors.
Factor u out of 2u.
3v64u+u(-u3y6)u⋅2
Cancel the common factor.
3v64u+u(-u3y6)u⋅2
Rewrite the expression.
3v64u+-u3y62
3v64u+-u3y62
3v64u+-u3y62
Move the negative in front of the fraction.
3v64u-u3y62
Divide (15u^2v^6-10u^6y^6)/(20u^3)

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