Expanding and Factorising

Single Bracket Expansion

100

2(a+3)

2a+6

200

3(a-8)

3a-24

300

 4(7x+5y) 

28x+20y

400

3y(5p+2)

15yp+6y

500

2u(3−u)

6u-2u^2

Single Bracket Factorising

100

2a+4b

2(a+2b)

200

8k+36

4(2k+9)

300

9x^2+6x

3x(3x+2)

400

-4ab-6bc

-2b(2a+3c)

500

8y^3+24y^2-16y^4

8y^2(y+3-2)

F.O.I.L

100

What does F.O.I.L stand for?

First, Outers, Inners, Last

200

(x+2)(x+3)

x^2+5x+6

300

(x+7)(x-8)

x^2-x+56

400

(r-6)(r-4)

r^2-10r+24

500

(2x+4)(3x+2)

6x^2+4x+12x+8

6x^2+16x+8

Monic Quadratic Trinomial Factorising

100

What is the rule for factorising quadratics?

The values need to multiply to get the last number, and add to get the middle number

200

x^2+6x+9

(x+3)(x+3)

300

x^2+9x+20

(x+4)(x+5)

400

x^2+10x+9

(x+1)(x+9)

500

x^2-6x-27

(x-9)((x+3)

Mr Schmalfeldt

100

What is Mr. Schmalfeldt's kids name?

Koana (Koko)

200

What year was Mr Schmalfeldt born in?

1984

300

What was Mr Schmalfeldt's previous school?

Cronulla High School

400

What NBA team does Mr Schmalfeldt follow?

Boston Celtics

500

What NRL team does Mr Schmalfeldt go for?

Cronulla Sharks