Divide ((26xy^2)/3-(39y^3)/2)/(-(13y^2)/6)

Math
26xy23-39y32-13y26
Multiply the numerator by the reciprocal of the denominator.
(26xy23-39y32)(-613y2)
Apply the distributive property.
26xy23(-613y2)-39y32(-613y2)
Rewrite using the commutative property of multiplication.
-26xy23⋅613y2-39y32(-613y2)
Cancel the common factor of 13y2.
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Move the leading negative in -39y32 into the numerator.
-26xy23⋅613y2+-39y32(-613y2)
Move the leading negative in -613y2 into the numerator.
-26xy23⋅613y2+-39y32⋅-613y2
Factor 13y2 out of -39y3.
-26xy23⋅613y2+13y2(-3y)2⋅-613y2
Cancel the common factor.
-26xy23⋅613y2+13y2(-3y)2⋅-613y2
Rewrite the expression.
-26xy23⋅613y2+-3y2⋅-6
-26xy23⋅613y2+-3y2⋅-6
Cancel the common factor of 2.
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Factor 2 out of -6.
-26xy23⋅613y2+-3y2⋅(2(-3))
Cancel the common factor.
-26xy23⋅613y2+-3y2⋅(2⋅-3)
Rewrite the expression.
-26xy23⋅613y2-3y⋅-3
-26xy23⋅613y2-3y⋅-3
Multiply -3 by -3.
-26xy23⋅613y2+9y
Simplify each term.
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Cancel the common factor of 13y2.
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Move the leading negative in -26xy23 into the numerator.
-26xy23⋅613y2+9y
Factor 13y2 out of -26xy2.
13y2(-2x)3⋅613y2+9y
Cancel the common factor.
13y2(-2x)3⋅613y2+9y
Rewrite the expression.
-2×3⋅6+9y
-2×3⋅6+9y
Cancel the common factor of 3.
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Factor 3 out of 6.
-2×3⋅(3(2))+9y
Cancel the common factor.
-2×3⋅(3⋅2)+9y
Rewrite the expression.
-2x⋅2+9y
-2x⋅2+9y
Multiply 2 by -2.
-4x+9y
-4x+9y
Divide ((26xy^2)/3-(39y^3)/2)/(-(13y^2)/6)

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