Monomials and polynomials

Adding

100

4x + 6x

10x

200

6x + 8x + x²

14x + x²

300

7x + 9a + 8x

15x + 9a

400

17b + 5 + 4b + 25

21b + 30

500

(28x + 8y + 49x) + (43y -3x² +3x)

80x + 51y - 3x²

Subtracting

100

18y - 9y

9y

200

17y - 92x - 7y

10y - 92x

300

38x - 17x - 14y - 7x

14x - 14y

400

79y - 63x - 28y - 32x

51y - 95x

500

39x - 68y - (14x - 25y - 59z)

25x - 43y + 59z

Multiplication

100

2·(8x)

16x

200

8·(4x + 8y)

32x + 64y

300

4x³·(3x + 8y) 

12x⁴ + 32x³y 

400

11x·(7x + 9y) + 3y·(7x - 2)

77x² + 120xy - 6y

500

(4a - 9b)·(4a + 9b)

16a² - 81b²

Division

100

8x³ : 2x

4x²

200

t³ : (-t)

-1t²

300

42x¹¹y¹⁵ : 6x⁴y¹⁰

7x⁷y⁵

400

16a²b³ : 24a³

(2/3)a^-1b³

500

33x⁵y : 11xyz⁸

3x⁴/z⁸

Mixed

100

4·(9a - 8b) + 8b

36a - 24b

200

8a + 2b · 3b + 4a² - 7b²

8a - 1b² + 4a²

300

7a²: 2a + 9a

25/2 a

400

6n³ - 2n² · 4 + 6/4 n³ +8n²

15/2 n³

500

8x - [(2x + y)·(7y - 1)] +y²

10x - 14xy - 6y²+y