# Divide (14xy+9x^3y^2)÷(-2x^3y^2)

(14xy+9x3y2)÷(-2x3y2)
Rewrite the division as a fraction.
14xy+9x3y2-2x3y2
Factor xy out of 14xy+9x3y2.
Factor xy out of 14xy.
xy(14)+9x3y2-2x3y2
Factor xy out of 9x3y2.
xy(14)+xy(9x2y)-2x3y2
Factor xy out of xy(14)+xy(9x2y).
xy(14+9x2y)-2x3y2
xy(14+9x2y)-2x3y2
Cancel the common factor of x and x3.
Factor x out of xy(14+9x2y).
x(y(14+9x2y))-2x3y2
Cancel the common factors.
Factor x out of -2x3y2.
x(y(14+9x2y))x(-2x2y2)
Cancel the common factor.
x(y(14+9x2y))x(-2x2y2)
Rewrite the expression.
y(14+9x2y)-2x2y2
y(14+9x2y)-2x2y2
y(14+9x2y)-2x2y2
Cancel the common factors.
Factor y out of -2x2y2.
y(14+9x2y)y(-2x2y)
Cancel the common factor.
y(14+9x2y)y(-2x2y)
Rewrite the expression.
14+9x2y-2x2y
14+9x2y-2x2y
Move the negative in front of the fraction.
-14+9x2y2x2y
Split the fraction 14+9x2y2x2y into two fractions.
-(142x2y+9x2y2x2y)
Cancel the common factor of 14 and 2.
Factor 2 out of 14.
-(2⋅72x2y+9x2y2x2y)
Cancel the common factors.
Factor 2 out of 2x2y.
-(2⋅72(x2y)+9x2y2x2y)
Cancel the common factor.
-(2⋅72(x2y)+9x2y2x2y)
Rewrite the expression.
-(7x2y+9x2y2x2y)
-(7x2y+9x2y2x2y)
-(7x2y+9x2y2x2y)
Cancel the common factor of x2.
Cancel the common factor.
-(7x2y+9x2y2x2y)
Rewrite the expression.
-(7x2y+9y2y)
-(7x2y+9y2y)
Cancel the common factor of y.
Cancel the common factor.
-(7x2y+9y2y)
Rewrite the expression.
-(7x2y+92)
-(7x2y+92)
Divide (14xy+9x^3y^2)÷(-2x^3y^2)