Working with Polynomials

Adding Polynomials

100

Add (5x²)+(7x³+6x²+9x-1)

7x³+11x²+9x-1

200

Add (x³+4x²)+(3x³-2x²)

4x³+2x² 

300

Add (4x²+3x-7)+(5x²-5x+9)

9x²-2x+2

400

Add (7x²-y+5x+2xy)+(9x-2y)

7x²-3y+14x+2xy

500

Add

(5x²+6y+3xy)+(x²-3x-7y+9)

6x²-3x-1y+3xy+9

Subtracting Polynomials

100

Subtract (7x²+5x+6)-(4x²)

3x²+5x+6

200

Subtract 

(9x²+7x)-(-3x²+5x+3)

12x²+2x-3

300

Subtract 

(3x²+8x-12)-(x²-3x+7)

2x²+11x-19

400

Subtract 

(8x²+7y-5xy+13)-(4x²-9y)

4x²+16y-5xy+13

500

Subtract (5x²-2y+5xy)-(-6x²+8y-5xy)

11x²-10y+10xy

Multiplying Monomials by Monomials

100

Multiply (2x²)(5x⁷)

10x⁹

200

Multiply (3x⁵y)(8x⁶)

24x¹¹y

300

Multiply (5x⁴y⁴)(6x³y⁶)

30x⁷y¹⁰

400

Multiply (3x⁵y³z)(2x⁹y²)

6x¹⁴y⁵z

500

Multiply (-2x⁴y⁴z³)(8x³y⁵z⁷)

-16x⁷y⁹z¹⁰

Multiplying Monomials by Polynomials

100

Multiply (9x³)(2x⁴+3x+2)

18x⁷+27x⁴+18x³

200

Multiply (5x⁷)(4x⁴-2x+3)

20x¹¹-10x⁸+15x⁷

300

Multiply (7x⁵)(8x³-5x²+2x)

56x⁸-35x⁷+14x⁶

400

Multiply 

(4x²y)(7x⁶-5x⁷y+2xy⁵)

28x⁸y-20x⁹y²+8x³y⁶

500

Multiply 

(-3x⁴y⁵)(8x⁴-7x³y⁶-5x³y⁴z)

-24x⁸y⁵+21x⁷y¹¹+15x⁷y⁹z

Spot the difference

100

Simplify each expression x²+2x² and x²*2x²

3x² and 2x⁴

200

Simplify each expression 3x³+6x³ and 3x³*6x³ 

9x³ and 18x⁶

300

Simplify each expression -2x²+5x² and -2x²*5x² 

3x² and -10x⁴

400

Simplify each expression 4x³y+4x³y and 4x³y*4x³y 

8x³y and 16x⁶y²

500

Simplify each expression -6x⁴y³+-5x⁴y³ and -6x⁴y³*-5x⁴y³ 

-11x⁴y³ and 30x⁸y⁶