Unit 10

Factoring GCF

100

2+4

2(1+2)

200

3x+6-3

3(x+2-1)

300

14x²+63-42x

7(2x²+9-6x)

400

20x²y+35x

5x(4xy+7)

500

6x²y+14xy²-42xy-2x²y²

2xy(3x+7y-21-xy)

Simiplyify a radical

100

√9

3

200

√75

5√3

300

³√24

2³√3

400

⁴√48

2⁴√3

500

√360

6√10

radical operation

100

√2 √6

2√3

200

√2x √12x

2x√6

300

3√6x √10x

6x√15

400

⁶√5^{2  6}√2³

⁶√200

500

⁵√2⁷3⁵7

6 ⁵√28

factoring differences betwean squares

100

4x³+6x²

2x²(2x+3)

200

121x⁴-33x⁷

11x⁴(11-3x³)

300

45y+10x²

5(9y+2x²)

400

270⁵-45³

9³(30²-9)

500

6x²y⁷+72y⁴x⁴

6x²y⁴(y³+9x²)

factoring trimonals

100

x²+9x+20

(x+4)(x+5)

200

x²+7x-18

(x-2)(x+9)

300

x²-2x+24

(x-6)(x-4)

400

2x²+14x+20

(2x+4)(x+5)

500

3x²+12x+9

(3x+3)(x+3)