# Divide (-28x^5y+14x^(4y)+21x^3y)÷(-7x^(3y))

(-28x5y+14x4y+21x3y)÷(-7x3y)
Rewrite the division as a fraction.
-28x5y+14x4y+21x3y-7x3y
Cancel the common factor of -28x5y+14x4y+21x3y and -7.
Factor 7 out of -28x5y.
7(-4x5y)+14x4y+21x3y-7x3y
Factor 7 out of 14x4y.
7(-4x5y)+7(2x4y)+21x3y-7x3y
Factor 7 out of 7(-4x5y)+7(2x4y).
7(-4x5y+2x4y)+21x3y-7x3y
Factor 7 out of 21x3y.
7(-4x5y+2x4y)+7(3x3y)-7x3y
Factor 7 out of 7(-4x5y+2x4y)+7(3x3y).
7(-4x5y+2x4y+3x3y)-7x3y
Cancel the common factors.
Factor 7 out of -7x3y.
7(-4x5y+2x4y+3x3y)7(-x3y)
Cancel the common factor.
7(-4x5y+2x4y+3x3y)7(-x3y)
Rewrite the expression.
-4x5y+2x4y+3x3y-x3y
-4x5y+2x4y+3x3y-x3y
-4x5y+2x4y+3x3y-x3y
Move the negative in front of the fraction.
–4x5y+2x4y+3x3yx3y
Factor -1 out of -4x5y.
–(4x5y)+2x4y+3x3yx3y
Factor -1 out of 2x4y.
–(4x5y)-(-2x4y)+3x3yx3y
Factor -1 out of -(4x5y)-(-2x4y).
–(4x5y-2x4y)+3x3yx3y
Factor -1 out of 3x3y.
–(4x5y-2x4y)-(-3x3y)x3y
Factor -1 out of -(4x5y-2x4y)-(-3x3y).
–(4x5y-2x4y-3x3y)x3y
Rewrite -(4x5y-2x4y-3x3y) as -1(4x5y-2x4y-3x3y).
–1(4x5y-2x4y-3x3y)x3y
Move the negative in front of the fraction.
–4x5y-2x4y-3x3yx3y
Multiply -1 by -1.
14x5y-2x4y-3x3yx3y
Multiply 4x5y-2x4y-3x3yx3y by 1.
4x5y-2x4y-3x3yx3y
Split the fraction 4x5y-2x4y-3x3yx3y into two fractions.
4x5y-2x4yx3y+-3x3yx3y
Split the fraction 4x5y-2x4yx3y into two fractions.
4x5yx3y+-2x4yx3y+-3x3yx3y
Cancel the common factor of x5 and x3y.
Factor x3y out of 4x5y.
x3y(4×5-3yy)x3y+-2x4yx3y+-3x3yx3y
Cancel the common factors.
Multiply by 1.
x3y(4×5-3yy)x3y⋅1+-2x4yx3y+-3x3yx3y
Cancel the common factor.
x3y(4×5-3yy)x3y⋅1+-2x4yx3y+-3x3yx3y
Rewrite the expression.
4×5-3yy1+-2x4yx3y+-3x3yx3y
Divide 4×5-3yy by 1.
4×5-3yy+-2x4yx3y+-3x3yx3y
4×5-3yy+-2x4yx3y+-3x3yx3y
4×5-3yy+-2x4yx3y+-3x3yx3y
Reorder factors in 4×5-3yy.
4yx5-3y+-2x4yx3y+-3x3yx3y
Cancel the common factor of x4y and x3y.
Factor x3y out of -2x4y.
4yx5-3y+x3y(-2xy)x3y+-3x3yx3y
Cancel the common factors.
Multiply by 1.
4yx5-3y+x3y(-2xy)x3y⋅1+-3x3yx3y
Cancel the common factor.
4yx5-3y+x3y(-2xy)x3y⋅1+-3x3yx3y
Rewrite the expression.
4yx5-3y+-2xy1+-3x3yx3y
Divide -2xy by 1.
4yx5-3y-2xy+-3x3yx3y
4yx5-3y-2xy+-3x3yx3y
4yx5-3y-2xy+-3x3yx3y
Cancel the common factor of x3 and x3y.
Factor x3y out of -3x3y.
4yx5-3y-2xy+x3y(-3×3-3yy)x3y
Cancel the common factors.
Multiply by 1.
4yx5-3y-2xy+x3y(-3×3-3yy)x3y⋅1
Cancel the common factor.
4yx5-3y-2xy+x3y(-3×3-3yy)x3y⋅1
Rewrite the expression.
4yx5-3y-2xy+-3×3-3yy1
Divide -3×3-3yy by 1.
4yx5-3y-2xy-3×3-3yy
4yx5-3y-2xy-3×3-3yy
4yx5-3y-2xy-3×3-3yy
Reorder factors in -3×3-3yy.
4yx5-3y-2xy-3yx3-3y
Divide (-28x^5y+14x^(4y)+21x^3y)÷(-7x^(3y))