Add/Subtract/Multiply Polynomials and Exponent Rules

Addition of Polynomials

100

Add:

(4x² + 2x) + (x² + 6x)

5x² +8x

200

Add:

(-3y² + y) + (4y² + 6y)

y² +7y

300

Add:

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

Add:

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

Add:

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

Subtract:

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

Subtract: 

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

Subtract: 

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

Subtract: 

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

Subtract: 

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Exponent Rules

100

Simplify:

(-5s)(s^4)

-5s^5

200

Simplify:

-10x^5y^2(-3x^4y^4)

30x^9y^6

300

Simplify:

(4p^2)^3

64p^6

400

Simplify:

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

25x^4y^6

500

Simplify:

((3xy^2)/(5x^6y^3))^0

1

Multiplying Polynomials

100

Multiply:

(x + 4)(x - 2)

x² + 2x - 8 

200

Multiply:

(a + 3)(a − 2)

a² + 1a − 6

300

Multiply:

(4m + 2)(4m + 5)

16m² + 28m + 10

400

Multiply:

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

Multiply:

(2x-5)^2

4x^2-20x+25

Mixed Practice

100

Simplify:

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

-x^2-10x-10

200

Simplify:

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

15x^2+12x

300

Simplify:

(2s^5)(4s)

8s^6

400

Simplify:

(-2x+1)(x^2-9x+10)

-2x^3+19x^2-29x+10

500

Simplify:

(x+4)^2

x^2+8x+16