Divide (27x^6y^6-9x^7y^6+24xy)÷3x^3y^5

Math
(27x6y6-9x7y6+24xy)÷3x3y5
Rewrite the division as a fraction.
27x6y6-9x7y6+24xy3x3y5
Factor 3xy out of 27x6y6-9x7y6+24xy.
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Factor 3xy out of 27x6y6.
3xy(9x5y5)-9x7y6+24xy3x3y5
Factor 3xy out of -9x7y6.
3xy(9x5y5)+3xy(-3x6y5)+24xy3x3y5
Factor 3xy out of 24xy.
3xy(9x5y5)+3xy(-3x6y5)+3xy(8)3x3y5
Factor 3xy out of 3xy(9x5y5)+3xy(-3x6y5).
3xy(9x5y5-3x6y5)+3xy(8)3x3y5
Factor 3xy out of 3xy(9x5y5-3x6y5)+3xy(8).
3xy(9x5y5-3x6y5+8)3x3y5
3xy(9x5y5-3x6y5+8)3x3y5
Cancel the common factor of 3.
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Cancel the common factor.
3xy(9x5y5-3x6y5+8)3x3y5
Rewrite the expression.
xy(9x5y5-3x6y5+8)x3y5
xy(9x5y5-3x6y5+8)x3y5
Cancel the common factor of x and x3.
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Factor x out of xy(9x5y5-3x6y5+8).
x(y(9x5y5-3x6y5+8))x3y5
Cancel the common factors.
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Factor x out of x3y5.
x(y(9x5y5-3x6y5+8))x(x2y5)
Cancel the common factor.
x(y(9x5y5-3x6y5+8))x(x2y5)
Rewrite the expression.
y(9x5y5-3x6y5+8)x2y5
y(9x5y5-3x6y5+8)x2y5
y(9x5y5-3x6y5+8)x2y5
Cancel the common factors.
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Factor y out of x2y5.
y(9x5y5-3x6y5+8)y(x2y4)
Cancel the common factor.
y(9x5y5-3x6y5+8)y(x2y4)
Rewrite the expression.
9x5y5-3x6y5+8x2y4
9x5y5-3x6y5+8x2y4
Split the fraction 9x5y5-3x6y5+8x2y4 into two fractions.
9x5y5-3x6y5x2y4+8x2y4
Split the fraction 9x5y5-3x6y5x2y4 into two fractions.
9x5y5x2y4+-3x6y5x2y4+8x2y4
Cancel the common factor of x5 and x2.
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Factor x2 out of 9x5y5.
x2(9x3y5)x2y4+-3x6y5x2y4+8x2y4
Cancel the common factors.
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Factor x2 out of x2y4.
x2(9x3y5)x2(y4)+-3x6y5x2y4+8x2y4
Cancel the common factor.
x2(9x3y5)x2y4+-3x6y5x2y4+8x2y4
Rewrite the expression.
9x3y5y4+-3x6y5x2y4+8x2y4
9x3y5y4+-3x6y5x2y4+8x2y4
9x3y5y4+-3x6y5x2y4+8x2y4
Cancel the common factor of y5 and y4.
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Factor y4 out of 9x3y5.
y4(9x3y)y4+-3x6y5x2y4+8x2y4
Cancel the common factors.
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Multiply by 1.
y4(9x3y)y4⋅1+-3x6y5x2y4+8x2y4
Cancel the common factor.
y4(9x3y)y4⋅1+-3x6y5x2y4+8x2y4
Rewrite the expression.
9x3y1+-3x6y5x2y4+8x2y4
Divide 9x3y by 1.
9x3y+-3x6y5x2y4+8x2y4
9x3y+-3x6y5x2y4+8x2y4
9x3y+-3x6y5x2y4+8x2y4
Cancel the common factor of x6 and x2.
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Factor x2 out of -3x6y5.
9x3y+x2(-3x4y5)x2y4+8x2y4
Cancel the common factors.
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Factor x2 out of x2y4.
9x3y+x2(-3x4y5)x2(y4)+8x2y4
Cancel the common factor.
9x3y+x2(-3x4y5)x2y4+8x2y4
Rewrite the expression.
9x3y+-3x4y5y4+8x2y4
9x3y+-3x4y5y4+8x2y4
9x3y+-3x4y5y4+8x2y4
Cancel the common factor of y5 and y4.
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Factor y4 out of -3x4y5.
9x3y+y4(-3x4y)y4+8x2y4
Cancel the common factors.
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Multiply by 1.
9x3y+y4(-3x4y)y4⋅1+8x2y4
Cancel the common factor.
9x3y+y4(-3x4y)y4⋅1+8x2y4
Rewrite the expression.
9x3y+-3x4y1+8x2y4
Divide -3x4y by 1.
9x3y-3x4y+8x2y4
9x3y-3x4y+8x2y4
9x3y-3x4y+8x2y4
Divide (27x^6y^6-9x^7y^6+24xy)÷3x^3y^5

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