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Multiplying polynomials with two variables

Multiplying a polynomial with two variables is simple. The following examples will help you to multiply polynomials.

Multiplying polynomials

Simple example.

Multiplying polynomials:

20xy2 * 10y2 =
20 * 10 * x * y2 * y2 =
200xy2 + 2 =
200xy4

Multiplying polynomials with 2 variables

Example.

Multiplying polynomials with 2 variables:

(4x + 5y)(5x - 2y)

How to resolve the problem?

Each term multiplied by each term:

(4x + 5y)(5x - 2y) =
4x5x + 4x(-2y) + 5y5x + 5y(-2y) =
20x2 - 8xy + 25xy - 10y2 =
20x2 + 17xy - 10y2