Enter Title

Expanding

100

2(x+3)

2x + 6

200

-4(2-x)

-8 + 4x

300

(2x+3)(5x-1)

10x² +13x -3

400

2(x²-5x)(2x+8)

4x³-4x²-80x

500

(x+y)(a-b+c)

ax+ay-bx-by+cx+cy

Factorising

100

Factorise 4x+12

4(x+3)

200

2x(x-2)+3(x-2)

(x-2)(2x+3)

300

Factorise 6pq+4p+15q²+10q

(2p+5q)(3q+2)

400

Factorise 4x²-9y²

(2x+3y)(2x-3y)

500

Factorise fully: 2x³-7x²-2x+7

(x+1)(x-1)(2x-7)

Factorising Quadratics

100

Factorise x²+6x+8

(x+2)(x+4)

200

Factorise x²-3x-40

(x-8)(x+5)

300

Factorise x²-12x+36

(x-6)²

400

Factorise 6x²+7x-3

(3x-1)(2x+3)

500

Factorise fully: 24x²-2x-12

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

Simplifying Algebraic Fractions

100

(2x/3) * (1/5)

(2x/15)

200

3a/4 + 5a/4

2a

300

(3/4a) / (a²/2)

(3/2a^3)

400

k/2 + k/6 - k/4

5k/12

500

a/(a+2) - 4/2(a+2)

(a-2)/(a+2)

Equations

100

x + 3 = 8

x=5

200

5m + 2 = 17

m=3

300

3(x+5)=6

x=-3

400

2p+4=5p+9

p=-5/3

500

2(3w+4) + 2 = 4(5w-6) + 3w

w=32/17