Fully Factorise by using common factor:

• ab^2 + a^2b
• a(x+2) – x – 2
• (x+2)^2 – 5(x+2)

Fully Factorise:

• x^2 – 4
• -2x^2 + 8

If possible, factorise into linear factor:

• x^2 – 3
• (x – 4)^2 + 9

Factorise using the difference of two squares:

• (x+2)^2 – (x-1)^2
• (2x + 1)^2 – 9
• (x + 3)^2 – 4x^2

Fully Factorise by using perfect square:

• x^2 + 6x + 9
• 25x^2 – 20x + 4
• 32x^2 – 16x + 2

Find two numbers that have:

• product 18 and sum 11
• product -30 and sum 13

Factorise:

• x^2 + 4x + 3
• x^2 + 15x + 54
• x^2 – 16x + 39
• x^2 – x – 2
• x^2 – 7x – 60

Fully factorise by first removing a common factor:

• -2x^2 + 2x + 40
• -3x^2 + 12x – 12
• -x^2 + 9x – 18
• 5x^2 + 15x – 50