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

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

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

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)

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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