Expansion and Factorisation

Basic Expansion

100

Expand (x+2)(x+3)

x²+5x+6

200

Expand (x+2)(x-2)

x²-4

300

Expand (x-6)(x+10)

x²+4x-60

400

Expand (2x − 1)(x − 6)

2x² − 13x + 6

500

Expand (5x − 2)(3x + 7)

15x² + 29x − 14

Further Expansion

100

Expand (3x+4)(3x-4)

9x²-16

200

Expand (x-12)²

x²-24x+144

300

Expand (x-3)(x+4)(x+4)

x³+5x²-8x-48

400

Expand (x + 1)(x² + x + 1)

x³ + 2x² + 2x + 1

500

Expand (x + 1)(x + 2)(x + 3)

x³ + 6x² + 11x + 6

Common Factors

100

Factorise xy+7x

x(y+7)

200

Factorise 9x²+3xy

3x(3x+y)

300

Factorise 10cd²-2cd

2cd(5d-1)

400

Factorise 

−8x² − 12x

− 4x(2x + 3)

500

Factorise x(x − 2) − 5(2 − x)

(x − 2) (x + 5)

Factorising

100

Factorise x²+5x-6

(x+6)(x-1)

200

Factorise x²-x-42

(x-7)(x+6)

300

Factorise x²-14x+48

(x-6)(x-8)

400

Factorise 25 − 4y²

(5 + 2y)(5 − 2y)

500

Factorise x² + 2x − 8

(x + 4)(x − 2)