factorising
expanding
Perfect squares
Null law
100

x(x+4) -2(x+4)

(x+4)(x-2)

100
x(x+5)

x2+5x

100

expand:

(x+3)2

x2+9

100

x(x+9) = 0

x = 0
200
x2+3x+6x+18

(x+3)(x+6)

200
x(x+5) +4 (x+5)

x2 + 9x + 20

200

expand:

(x-3)2

x2-6x+9

200

x2+5x = 0

x = 0 or -5

300

x2+8x-9

(x-1)(x+9)

300

(x+5)(x+3)

x2+8x+15

300

factorise

x2-9

(x-3)(x+3)

300
x2-81 = 0

x = 9

400

x2+8x+12

(x+2)(x+6)

400

(x-4)(x+3)

x2 -x -12

400

Factorise:

x2 - 16

(x-4)(x+4)

400

(x+2)(x+4)=0

x = -2 or -4

500

x-4x +4

(x-2)(x-2)


(x-2)2

500

(x-4)(x-6)

x2 -10x +24

500

x2 - 81

(x-9)(x+9)

500

x2+10x +16

x = -2 or -8