# Divide (15u^6z^7-12uz)/(3u^3z^5)

15u6z7-12uz3u3z5
Factor 3uz out of 15u6z7-12uz.
Factor 3uz out of 15u6z7.
3uz(5u5z6)-12uz3u3z5
Factor 3uz out of -12uz.
3uz(5u5z6)+3uz(-4)3u3z5
Factor 3uz out of 3uz(5u5z6)+3uz(-4).
3uz(5u5z6-4)3u3z5
3uz(5u5z6-4)3u3z5
Cancel the common factor of 3.
Cancel the common factor.
3uz(5u5z6-4)3u3z5
Rewrite the expression.
uz(5u5z6-4)u3z5
uz(5u5z6-4)u3z5
Cancel the common factor of u and u3.
Factor u out of uz(5u5z6-4).
u(z(5u5z6-4))u3z5
Cancel the common factors.
Factor u out of u3z5.
u(z(5u5z6-4))u(u2z5)
Cancel the common factor.
u(z(5u5z6-4))u(u2z5)
Rewrite the expression.
z(5u5z6-4)u2z5
z(5u5z6-4)u2z5
z(5u5z6-4)u2z5
Cancel the common factors.
Factor z out of u2z5.
z(5u5z6-4)z(u2z4)
Cancel the common factor.
z(5u5z6-4)z(u2z4)
Rewrite the expression.
5u5z6-4u2z4
5u5z6-4u2z4
Split the fraction 5u5z6-4u2z4 into two fractions.
5u5z6u2z4+-4u2z4
Cancel the common factor of u5 and u2.
Factor u2 out of 5u5z6.
u2(5u3z6)u2z4+-4u2z4
Cancel the common factors.
Factor u2 out of u2z4.
u2(5u3z6)u2(z4)+-4u2z4
Cancel the common factor.
u2(5u3z6)u2z4+-4u2z4
Rewrite the expression.
5u3z6z4+-4u2z4
5u3z6z4+-4u2z4
5u3z6z4+-4u2z4
Cancel the common factor of z6 and z4.
Factor z4 out of 5u3z6.
z4(5u3z2)z4+-4u2z4
Cancel the common factors.
Multiply by 1.
z4(5u3z2)z4⋅1+-4u2z4
Cancel the common factor.
z4(5u3z2)z4⋅1+-4u2z4
Rewrite the expression.
5u3z21+-4u2z4
Divide 5u3z2 by 1.
5u3z2+-4u2z4
5u3z2+-4u2z4
5u3z2+-4u2z4
Move the negative in front of the fraction.
5u3z2-4u2z4
Divide (15u^6z^7-12uz)/(3u^3z^5)