Polynomials!

Adding

100

(n^3+3n^2-3n)+(4n+5n^3+3n^2)

6n^3+6n^2+n

200

(7x^2-5x-4x^3)+(2x^3+7x^2+6x)

=2x^3+14x^2+x

300

(4x^3 + 7 + 4x - 3x^4) + (x^4 + 2x - 8 + 5x^3)

-2x^4 + 9x^3 + 6x - 1

400

(2xy^2 - 4x^4 - 3x) + (x + 6xy^2 + 6x^4)

2x^4 + 8xy^2 - 2x

500

(5x^2y^4 + 3x^3y^2 + 2x^4y) + (8x^4y - 8x^2y^4 + 8xy^4)

-3x^2y^4 + 3x^3y^2 + 10x^4y + 8xy^4

Subtracting

100

(2x^4 + 8x^2 - 4) - (7x^2 + x^4 + 3) 

x^4 + x^2 - 7

200

(5x^3 + 8 - 2x^2) - (3x^2 + 6x^3 - 2)

-x^3 - 5x^2 + 10

300

(1 + 7p + 7p^3 - 7p^2) - (p^3 + 8p^2 + 4p + 3)

6p^3 - 15p^2 + 3p - 2

400

(7x + 2x^4 + 4x^3 - x^2) - (7x^3 - 8x^2 + 8x + x^4) 

x^4 - 3x^3 + 7x^2 - x

500

(6x^4y^3 + 5x^2y^2 + 8y) - (2x^2y^4 + 4x^2y^2 - 2x^4y^3)

8x^4y^3 - 2x^2y^4 + x^2y^2 + 8y

Multiplying

100

2a^3(a^2 + 4a - 2) 

2a^5 + 8a^4 - 4a^3

200

(7x - 7)(3x - 1)

21x^2 - 28x + 7

300

(x + 8)(3x - 5)

3x^2 + 19x - 40

400

(8p - 5)(2p^2 - 3p + 7) 

 

16p^3 - 34p^2 + 71p - 35

500

(p + 6)(4p^2 - 7p - 6)

4p^3 + 17p^2 - 48p - 36

Dividing

100

(4x^2+8x)/(2x)

2x+4

200

(x^3 + 4x^2 - 2x + 60)/(x + 6)

x^2 - 2x + 10

300

(x^3 + 9x^2 + 2x - 6)/(x + 1)

x^2 + 8x - 6

400

(x^3 + 2x^2 - 42x + 51)/(x + 8)

x^2 - 6x + 6 + 3/(x +8) 

500

(9x^3 - 55x^2 + 8x - 22)/(x - 6)

9x^2-x+2-10/(x-6)