Two Variable Polynomials

Addition

100

(x²y+2xy+x)+(xy+y)

x²y+3xy+x+y

200

(4x²+6y²-x²y²)+(-2x²+3x²y)

2x²+6y²-x²y²+3x²y

300

(x²y-3xy²+5y)+(2x²y+4xy²-6y)

3x²y+xy²-y

400

(3x²y+5xy-2y)+(-4x²y-3xy+y)

-x²y+2xy-y

Subtraction

100

(x+y-3)-(3x+6)

-2x+y-9

200

(x²y²-2x+7)-(x²+5x-3)

x²y²-x²-7x+3

300

(x²y²-3xy+11)-(2x²y²+4xy-2)

-x²y²-7xy+13

400

(2x²y²+x²y-xy²+7x-3y)-(5x²y²+4x²y-y+5)

3x²y²-3x²y-xy²+7x-2y-5

Multiplication

100

(x+2)(y)

xy+2y

200

(x+3)(y-2)

xy-2x+3y-6

300

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

2x²+7xy-4y²

400

(x+2y)(x²-xy+y²)

x³+x²y-xy²+2y³

Mixed

100

(x+2y)+(3x-y)

4x+y

200

(x+y)(2)-(3x-4y)

-x+6y

300

(x-y)(x+y)+2x²

3x²-y²

400

(x+2y)(x-3y)-(x²-y²)

-xy-5y²