Divide (9u^4-24u^3)/(3u^2)

Math
9u4-24u33u2
Factor 3u3 out of 9u4-24u3.
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Factor 3u3 out of 9u4.
3u3(3u)-24u33u2
Factor 3u3 out of -24u3.
3u3(3u)+3u3(-8)3u2
Factor 3u3 out of 3u3(3u)+3u3(-8).
3u3(3u-8)3u2
3u3(3u-8)3u2
Cancel the common factor of 3.
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Cancel the common factor.
3u3(3u-8)3u2
Rewrite the expression.
u3(3u-8)u2
u3(3u-8)u2
Cancel the common factor of u3 and u2.
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Factor u2 out of u3(3u-8).
u2(u(3u-8))u2
Cancel the common factors.
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Multiply by 1.
u2(u(3u-8))u2⋅1
Cancel the common factor.
u2(u(3u-8))u2⋅1
Rewrite the expression.
u(3u-8)1
Divide u(3u-8) by 1.
u(3u-8)
u(3u-8)
u(3u-8)
Apply the distributive property.
u(3u)+u⋅-8
Rewrite using the commutative property of multiplication.
3u⋅u+u⋅-8
Move -8 to the left of u.
3u⋅u-8⋅u
Multiply u by u by adding the exponents.
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Move u.
3(u⋅u)-8⋅u
Multiply u by u.
3u2-8⋅u
3u2-8u
Divide (9u^4-24u^3)/(3u^2)

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