# Polynomial Division of Two Expressions (3x^2y+9x^2y^2-xy^2)/(3xy) using Polynomial Long Division Method

Take the help of Polynomial Long Division Calculator and determine the long polynomial division for the input expressions ie., (3x^2y+9x^2y^2-xy^2)/(3xy) and get the result as Quotient 27 x y^3 + 9 x y^2 - 3 y^3 Remainder 0 within a fraction of seconds along with an elaborate explanation.

Ex: (x^2+2x+8)/(x+8) (or) (x^3+5x+7)/(x+6) (or) (x^4+2x+8)/(x+6)

Calculate Division of two Polynomials:

## Step by Step Solution for Polynomial Division of (3x^2y+9x^2y^2-xy^2)/(3xy)

The given expression is (3x^2y+9x^2y^2-xy^2)/(3xy)

The Divident is x y \left(9 x y + 3 x - y\right) and Divisor is 3 x y

3 x y)x y \left(9 x y + 3 x - y\right)(27 x y^3 + 9 x y^2 - 3 y^3
- 81 x^2 y^4

----------------
- 81 x^2 y^4 + 9 x^2 y^2 + 3 x^2 y - x y^2

- 27 x^2 y^3

----------------
- 81 x^2 y^4 - 27 x^2 y^3 + 9 x^2 y^2 + 3 x^2 y - x y^2

9 x y^4

---------
- 81 x^2 y^4 - 27 x^2 y^3 + 9 x^2 y^2 + 3 x^2 y + 9 x y^4 - x y^2

After the division the quotient is 27 x y^3 + 9 x y^2 - 3 y^3 and reminder is 0

### Frequently Asked Questions on Polynomials Division of (3x^2y+9x^2y^2-xy^2)/(3xy)

1. What is the quotient & remainder for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy)?

For the given polynomial division expressions (3x^2y+9x^2y^2-xy^2)/(3xy) the quotient is 27 x y^3 + 9 x y^2 - 3 y^3 and the remainder is 0.

2. How do you perform the division of two polynomials (3x^2y+9x^2y^2-xy^2)/(3xy)?

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3x^2y+9x^2y^2-xy^2)/(3xy) and get the output ie., the quotient 27 x y^3 + 9 x y^2 - 3 y^3 and the remainder 0 in a short time.

3. Where can I get detailed solution steps for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy)?

You can easily find the detailed solution steps for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.