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

10000x² - 0.09y²

(100x+0.3y)(100x-0.3y)

Factorising trinomials 1

100

x² + 5x +6

(x + 3)(x + 2)

200

x²-9x+18

(x-3)(x-6)

300

x² + 7x - 60

(x + 12)(x - 5)

400

3x² − 15x − 42

3(x − 7)(x + 2)

500

6x² − x - 2

(2x + 1)(3x − 2)

Factorising trinomials 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

5x² − 45x + 100

5(x − 4)(x − 5)

500

4x² − 27x + 15

(4x−5)(x-3)