Factorising

Factorising by HCF

100

15x+30

15(x+2)

200

16x² + 64x + 8

8(2x² +8x+1)

300

5x³ +10x² +15x

5x(x² +2x+3)

400

80a² +48ab +16a

8a(10a+6b+2)

500

4a²b² - 2ab²+8a²b

2ab(2ab-b+4a)

Perfect square trinomials

100

x² + 6x + 9

(x + 3)²

200

x² + 10x + 25

(x + 5)²

300

16x² – 48x + 36

(4x – 6)²

400

169a² - 52ab + 4b²

(13a+2b)²

500

(m + n)² + 12(m + n) + 36

((m + n) + 6)² or (m + n + 6)²

Factorising difference of squares

100

49-x²

(7+x)(7-x)

200

a²-64

(a+8)(a-8)

300

100a²-4

(10a+2)(10a-2)

400

121f²-144

(11f-12)(11f+12)

500

25x²-16y²

(5x+4y)(5x-4y)

Factorising quadratics 1

100

x² + 5x +6

(x + 3)(x + 2)

200

x²-9x+18

(x-3)(x-6)

300

x² + 6x + 8

(x + 4)(x + 2)

400

x² − 5x − 14

(x − 7)(x + 2)

500

x² − 7x + 12

(x − 4)(x − 3)

Factorising quadratics 2

100

x² + 2x - 8

(x + 4)(x - 2)

200

x² + 3x − 4

(x+4)(x−1)

300

x² − 12x + 35

 (x − 5)(x − 7)

400

x² − 9x + 20

(x − 4)(x − 5)

500

x²−x−12

(x−4)(x+3)