Divide (5u^2y^4-27uy^3)÷(-3u^2y^4)

Math
(5u2y4-27uy3)÷(-3u2y4)
Rewrite the division as a fraction.
5u2y4-27uy3-3u2y4
Factor uy3 out of 5u2y4-27uy3.
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Factor uy3 out of 5u2y4.
uy3(5uy)-27uy3-3u2y4
Factor uy3 out of -27uy3.
uy3(5uy)+uy3(-27)-3u2y4
Factor uy3 out of uy3(5uy)+uy3(-27).
uy3(5uy-27)-3u2y4
uy3(5uy-27)-3u2y4
Cancel the common factor of u and u2.
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Factor u out of uy3(5uy-27).
u(y3(5uy-27))-3u2y4
Cancel the common factors.
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Factor u out of -3u2y4.
u(y3(5uy-27))u(-3uy4)
Cancel the common factor.
u(y3(5uy-27))u(-3uy4)
Rewrite the expression.
y3(5uy-27)-3uy4
y3(5uy-27)-3uy4
y3(5uy-27)-3uy4
Cancel the common factors.
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Factor y3 out of -3uy4.
y3(5uy-27)y3(-3uy)
Cancel the common factor.
y3(5uy-27)y3(-3uy)
Rewrite the expression.
5uy-27-3uy
5uy-27-3uy
Move the negative in front of the fraction.
-5uy-273uy
Split the fraction 5uy-273uy into two fractions.
-(5uy3uy+-273uy)
Cancel the common factor of u.
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Cancel the common factor.
-(5uy3uy+-273uy)
Rewrite the expression.
-(5y3y+-273uy)
-(5y3y+-273uy)
Cancel the common factor of y.
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Cancel the common factor.
-(5y3y+-273uy)
Rewrite the expression.
-(53+-273uy)
-(53+-273uy)
Cancel the common factor of -27 and 3.
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Factor 3 out of -27.
-(53+3⋅-93uy)
Cancel the common factors.
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Factor 3 out of 3uy.
-(53+3⋅-93(uy))
Cancel the common factor.
-(53+3⋅-93(uy))
Rewrite the expression.
-(53+-9uy)
-(53+-9uy)
-(53+-9uy)
Move the negative in front of the fraction.
-(53-9uy)
Divide (5u^2y^4-27uy^3)÷(-3u^2y^4)

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