Year 10 - Expanding and Factorising

Simplify Algebraic Expressions

100

Simplify 2x + 4x - x

5x

200

Simplify 

k - 3m + 5m + 7k

8k+2m

400

Simplify 

x + 4x^2 - 8x + 1 + 5x - x^2

3x^2 - 2x + 1

500

Simplify 

4c^2d * abc * 3d

12abc^3d^2

Expanding Brackets

100

Expand 

2(6-c)

12-2c

200

Expand

4x (5 - 2x)

20x - 8x²

300

Expand 

(x+2)(x+5)

x^2 +7x + 10

400

Expand and simplify 

2a(3a+1) - 3(2 - 4a)

6a^2+14a-6

500

Expand

(2x + 3)(x + 2)

(2x² +9x + 6)

Factorising Algebraic Expressions

100

Factorise 

12d + 8

4(3d + 2)

200

Factorise

-4k - 8k^2

-4k(1 + 2k)

300

Factorise 

25-49p^2

(5 + 7p)(5 - 7p)

400

Factorise 

m^2 + 8m + 16

(m + 4)^2

500

Factorise 

m(k-2)+4(k-2)

(k-2)(m+4)

Expanding Double Brackets

300

Expand 

(x + 3)^2

x^2 +6x + 9