Expanding and Factorising

Factorise 1

100

Factorise 3x + 6

3(x + 2)

200

Factorise 2y + 4

2(y + 2)

300

Factorise 3b - 9

3(b - 3)

400

Factorise 5b² + 10b

5b(b + 2)

500

Factorise -2x² + 4x

2x(-x + 2) or -2x(x - 2)

Expand 1

100

Expand 3(a + b)

3a + 3b

200

Expand 4a(a + 2)

4a² + 8a

300

Expand 8(x² + 2)

8x² + 16

400

Expand -2x(x + 7)

-2x² - 14x

500

Expand 5a²(5a² + 10b)

25a⁴ + 50a²b

Factorise 2

100

Factorise 4a + 2ab

2a(2 + b)

200

Factorise 3a - 6a²

3a(1 - 2a) 

300

Factorise 48h + 36hy

12h(4 + 3y)

400

Factorise 3abc - 6bc

3bc(a - 2)

500

Factorise 25xy - 35x²yz

5xy(5 - 7xz)

Expand 2

100

Expand 3a(a + 2b)

3a² + 6ab

200

Expand -5(g + 2)

-5g - 10

300

Expand 4xy(2 + y)

8xy + 4xy²

400

Expand 5x(10xy - 3z⁴)

50x²y - 15xz⁴

500

Expand 4d(-4e - 5d⁶)

-16de - 20d⁵

Potluck

100

Simplify 5a + 3a + 6a

14a

200

Simplify 5a + 7a + a

13a

300

Expand 3(5b - 2)

15b-6

400

Factorise 6b²+8b

2b(3b+4)

500

Factorise 5abc + 10bcd

5bc(a+2d)