Polynomials

Laws of Exponents

100

y^-5

1/y⁵

200

3xy² divided by xy³

3/y

300

(x⁴y⁴)³

x¹²y¹²

400

(2xy⁴)(y²)

2xy⁶

500

(4m²)(4m²n⁰)

16m⁴

Adding Polynomials

100

3x + 9x

12x

200

(2x + 1) + (3x + 3)

5x + 4

300

(3x - 1) + (x + 4)

4x + 3

400

(3 + 2x) + (4x - 3)

6x

500

(2x² - 2x + 3) + (5x - 3x² + 2)

-x² + 3x + 5

Subtracting Polynomials

100

3x - 5x

-2x

200

(2x + 1) - (3x + 3)

-x - 2

300

(3x - 1) - (x + 4)

2x - 5

400

(2x + 1) - (4x - 3)

-2x + 4

500

(2x² - 2x + 3) - (3x² + 4x + 3)

-x² - 6x

Distributive Property

100

3(4x)

12x

200

-2(4x + 5)

-8x - 10

300

3x(x + 1)

3x² + 3x

400

-2x(3x + 4)

-6x² - 8x

500

-4(2x² + 3x - 7)

-8x² - 12x + 28

Factoring Common Factors

100

Factor: 8x + 24

8(x + 3)

200

Factor: 9a - 9

9(a - 1)

300

33w + 77

11(3w + 7)

400

x² + 10x

x(x + 10)

500

c³ + 7c² - 3c

c(c² + 7c - 3)