Algebra Polynomials

Add / Subtract

100

(2x + 3) + (x + 5)

3x + 8

200

(x²-2xy+y²) + (-2x²+y²)

-x² - 2xy + 2y²

300

(2x²-5x-4) - (3x²+x+1)

-x² - 6x - 5

400

(7x³-5y²-2) - (5x³-2y²+4)

2x³ - 3y² - 6

500

(9x²y²-5xy+25y²) - (5x²y²+10xy-9y²)

4x²y² - 15xy + 34y²

Multiply

100

(4x²y³)(6x³y²)

24x⁵y⁵

200

3y²(2y²-4yz+z³)

6y⁴-12y³z+3y²z³

300

(x + 4)(x - 8)

x² - 4x - 32

400

10xy(2xy-3x²y+x²)

20x²y²-30x³y²+10x³y

500

(6x - 5y)(2x - 3y)

12x²-28xy+15y²

Divide

100

18x³y⁴z⁷

-2x²yz⁹

-9xy³

  z²

200

35x¹¹y²

-7x⁷y⁹

-5x⁴

 y⁷

300

12xy + 27y

   3y

4x + 9

400

15x³y³ - 25x²y² + 20x³y³

         5x²y²

7xy - 5

500

Divide (x²+9x+20) by (x+5)

x + 4

Factor Level 1

100

Factor:

3x² - 3x

3x(x - 1)

200

Factor: 

25x²y² + 30xy³

5xy²(5x + 6y)

300

Factor:

x² + 8x + 15

(x + 3)(x + 5)

400

x² + 12x + 35

(x + 5)(x + 7)

500

Factor:

25m² - 49

(5m + 7)(5m - 7)

Factor Level 2

100

Factor:

144x² - 49y²

(12x + 7y)(12x - 7y)

200

Factor:

2a² - 2b²

2(a + b)(a - b)

300

Factor:

10x³ - 40x

10x(x + 2)(x - 2)

400

Factor:

4x² - 12x + 5

(2x - 5)(2x - 1)

500

3x² + 5x + 2

(3x + 2)(x + 1)