Algebra - Expanding & Factorising

Addition & Subtraction

100

Simplify 3x + 5 - 2x

x + 5

200

6b - 7a + 8b

14b - 7a

300

6ab + 5b + 7ba + 2

13ab + 5b + 2

400

Simplify 6x + 9 - 11x - 12

-5x - 3

Expanding

100

Expand 3(x+ 2)

3x + 6

200

Expand 2x(x + 5)

2x² + 10x

300

Expand -6(4x + 5)

-24x - 30

400

Expand (x + 4)²

x² + 8x + 16

500

Expand (x + 5)(x - 2)

x² + 3x - 10

Factorising

100

Factorise 3x + 9

 3(x + 3)

200

Factorise: 8x + 24xy

8x(1 + 3y)

300

Factorise 12xy - 36x

12x(y - 3)

400

Factorise: x² + 5x + 6

(x + 2)(x + 3)

500

Factorise x² + x - 12 

(x - 3)(x + 4)

Factorise by Grouping

100

Factorise: 2(x+3)+y(x+3)

(x+3)(2+y)

200

y(x-4)-(x-4)

(x-4)(y-1)

300

2b + 4x + by + 2xy

2(b+2x)+y(b+2x)

(b+2x)(2+y)