Factoring

One Variable

100

2x+16

2(x+8)

200

9+21x

3(3+7x)

300

24+28x

4(6+7x)

400

9x²-45x

9x∙(x-5)

500

(-1/2)x-4

-1/2∙(x+8)

Two Variable

100

2x+4y-12z

2(x+2y-6z)

200

15+30x+40y

5(3+10x+8y)

300

xyz+xy+y

y(xz+x+1)

400

9y-12yz+3xy

3y(3-4z+x)

500

12x²+33x-18xy

3x(4x+11-6y)

Distributive property

100

4∙(z+2)

4z+8

200

10∙(z-8)

10z-80

300

3y∙(x+15)

3xy+45y

400

9x∙(x-5)

9x²-45x

500

(1/3)∙(y-3)

(1/3)y-1

Exponents

100

x²+x

x(x+1)

200

14xy²+12y

2y(7xy+6)

300

7x²y²+x²y

x²y(7y+1)

400

15x²y³z⁴-45xy²z³

15xy²z³(xyz+3)

500

25m²n³-20m²n

5m²n(5n²-4)