Unit 2 Review

+/- Monomials

100

5x + 2x=

7x

200

10a²b⁵ - 6a²b⁵⁼

4a²b⁵

300

2n+3m³⁼

2n + 3m³

400

7xy+2x²y+3xy=

10xy+2x²y

500

5a²b-2ab³ +2a²b-2b=

7a²b-2ab³-2b

Product Rule

100

x¹ * x³=

x⁴

200

x * x * x=

x³

300

2m² * 4m⁵=

8m⁷

400

3a²b⁴ * -2a⁵b²c=

-6a⁷b⁶c

500

2xy²z³ * 5x²yz=

10x³y³z⁴

Power Rule

100

(x²)³=

x⁶

200

(x²y²)³=

x⁶y⁶

300

(2n³)⁴=

16n¹²

400

(2m²n)² * (m²)²=

4m⁸n²

500

(3x³y²)³ * (-2x²y²)²=

108x¹³y¹⁰

DoS

100

x²-36

(x+6)(x-6)

200

x²+81

x²+81

300

9x²-49

(3x+7)(3x-7)

400

25 - 16x²

(5-4X)(5+4x)

500

LOOK FOR GCF FIRST:

16x³-100x

4x(2x+5)(2x-5)

GCF

100

16x+48y

16(x+3y)

200

9m²+3mn

3m(3m+n)

300

ab-a

a(b-1)

400

x²y+3xy

xy(x+3)

500

6y⁴+14y³-10y²

2y²(3y²+7y-5)

Trinomials

100

x²+13x+40

(x+8)(x+5)

200

x²-x-90

(x-10)(x+9)

300

k²+15k-54

(k+18)(k-3)

400

m²-12m+36

(m-6)(m-6)

500

LOOK FOR GCF FIRST:

4a³-12a²-72a

4a(a-6)(a+3)