Factorisation Revision

Prime Factorisation

100

18

2*3*3

200

72

2*2*2*3*3 

300

126

2*3*3*7

400

48x²

2*2*2*2*3*x*x

500

150a³b²

2*3*5*5*a*a*a*b*b

HCF

100

HCF 12 and 18 

6

200

HCF of 45 and 60

15

300

HCF of 28 and32

14

400

HCF of 36x² and 60x

12x 

500

HCF of 72a³b² and 48a²b³

24a²b²

Two Term Factorisation

100

5x+10 

5(x+2)

200

7a - 21b 

7(a-3b) 

300

12m²n - 15mn²

3mn(4m-5n) 

400

32x³y − 20xy²

4xy(8x² - 5y) 

500

45p³q² − 30p²q³

15p²q²(3p − 2q) 

Group Factorization

100

x² + 3x + 2x + 6

(x + 3)(x + 2) 

200

4a² + 8a + 3a + 6

(4a + 3)(a + 2) 

300

6x² − 9x + 4y − 6

(2x − 3)(3x + 2)

400

10m² + 15mn − 4m − 6n

(2m + 3n)(5m − 2)

500

Factorise fully : 12a³ − 18a²b + 8ac − 12bc 

12a³ − 18a²b + 8ac − 12bc 

Difference of two Squares

100

x² − 9

(x − 3)(x + 3)

200

25a² − 4

(5a − 2)(5a + 2)

300

49m² − n² 

(7m − n)(7m + n)

400

16x² - 4

2 (x-2)(x+2) 

500

16x⁴ − y⁴

(2x − y)(2x + y)(4x² + y²)