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)

Miss Rowley

100

Miss Rowley’s puppy’s name

Smokey

200

Year Miss Rowley was born

1980

300

Miss Rowley’s previous school

Sunshine Beach

400

Number of kids Miss Rowley has

2

500

Subjects Miss Rowley currently teaches

maths, science, chemistry