Factorisation and Expansion Revision

Single Expansion

100

5(5x+y) 

25x+5y 

200

x²(5-x)

5x² - x³

300

8x² (2x + 5)

16x²+40x²

400

4x²(4x³ + 3y)

16x⁵+12x²y

500

Expand and Simplify : 

3(x+y) - 5(2x-y) 

-7x+8y

Double Expansion

100

(x+2)(x+4) 

x² +6x+8

200

(x+8)(x-2)

x²+8x-16 

300

(2x-5)(3x-2)

6x²-19x+10 

400

(2x²+4)(3x²+6) 

6x⁴+24x²+24 

500

(4x²+2x)(5x-3) 

20x³-2x²-6x 

Random

100

Expand (x-3)(x+3) 

x²-9

200

Find the HCF of 16y²n and 40ny³

8y²n

300

 Expand and simplify : 2(x+2) +x(3-5) 

4 

400

(3k + 7)²

9k²+42k+49 

500

Factorize fully: 16x⁴ − y⁴

(2x − y)(2x + y)(4x² + y²)

Two term factorization

100

5x+10 

5(x+2)

200

7a - 21b 

7(a-3b) 

300

12y²n - 15my²

3y²(4n-5m) 

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

7x²+3x+14x+6

(7x+3)(x + 2)

400

10m² + 15mn − 4m − 6n

(2m + 3n)(5m − 2)

500

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

12a³ − 18a²b + 8ac − 12bc